Hyperplane projections of the unit ball of ℓpn

Abstract Let Bpn={x∈\Rn;\; \sumi=1n |xi|p≤ 1} , 1≤ p\le+∈fty . We study the extreme values of the volume of the orthogonal projection of Bpn onto hyperplanes H\subset \Rn . For a fixed H , we prove that the ratio vol(PH Bpn)/ vol(Bpn-1) is non-decreasing in p∈[1,+∈fty] .

Gespeichert in:

Autor*in:	Barthe, F. [verfasserIn] Naor, A. [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2002

Übergeordnetes Werk:	Enthalten in: Discrete & computational geometry - New York, NY : Springer, 1986, 27(2002), 2 vom: 01. Jan., Seite 215-226
Übergeordnetes Werk:	volume:27 ; year:2002 ; number:2 ; day:01 ; month:01 ; pages:215-226

Links:	Volltext

DOI / URN:	10.1007/s00454-001-0066-3

Katalog-ID:	SPR006189792

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520			\|a Abstract Let Bpn={x∈\Rn;\; \sumi=1n \|xi\|p≤ 1} , 1≤ p\le+∈fty . We study the extreme values of the volume of the orthogonal projection of Bpn onto hyperplanes H\subset \Rn . For a fixed H , we prove that the ratio vol(PH Bpn)/ vol(Bpn-1) is non-decreasing in p∈[1,+∈fty] .
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912			\|a GBV_ILN_2088
912			\|a GBV_ILN_2093
912			\|a GBV_ILN_2106
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912			\|a GBV_ILN_2118
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912			\|a GBV_ILN_2148
912			\|a GBV_ILN_2152
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matchkey_str	article:14320444:2002----::yepaerjcinote
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bklnumber	31.59 31.12 31.76
publishDate	2002
allfields	10.1007/s00454-001-0066-3 doi (DE-627)SPR006189792 (SPR)s00454-001-0066-3-e DE-627 ger DE-627 rakwb eng 510 004 ASE 510 004 ASE 31.59 bkl 31.12 bkl 31.76 bkl Barthe, F. verfasserin aut Hyperplane projections of the unit ball of ℓpn 2002 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract Let Bpn={x∈\Rn;\; \sumi=1n \|xi\|p≤ 1} , 1≤ p\le+∈fty . We study the extreme values of the volume of the orthogonal projection of Bpn onto hyperplanes H\subset \Rn . For a fixed H , we prove that the ratio vol(PH Bpn)/ vol(Bpn-1) is non-decreasing in p∈[1,+∈fty] . Naor, A. verfasserin aut Enthalten in Discrete & computational geometry New York, NY : Springer, 1986 27(2002), 2 vom: 01. Jan., Seite 215-226 (DE-627)253722330 (DE-600)1459007-4 1432-0444 nnns volume:27 year:2002 number:2 day:01 month:01 pages:215-226 https://dx.doi.org/10.1007/s00454-001-0066-3 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OPC-MAT SSG-OPC-ASE GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_121 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_206 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_267 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_374 GBV_ILN_602 GBV_ILN_636 GBV_ILN_647 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2018 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2043 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2158 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2193 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_2808 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4277 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4346 GBV_ILN_4367 GBV_ILN_4393 GBV_ILN_4700 GBV_ILN_4753 31.59 ASE 31.12 ASE 31.76 ASE AR 27 2002 2 01 01 215-226
spelling	10.1007/s00454-001-0066-3 doi (DE-627)SPR006189792 (SPR)s00454-001-0066-3-e DE-627 ger DE-627 rakwb eng 510 004 ASE 510 004 ASE 31.59 bkl 31.12 bkl 31.76 bkl Barthe, F. verfasserin aut Hyperplane projections of the unit ball of ℓpn 2002 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract Let Bpn={x∈\Rn;\; \sumi=1n \|xi\|p≤ 1} , 1≤ p\le+∈fty . We study the extreme values of the volume of the orthogonal projection of Bpn onto hyperplanes H\subset \Rn . For a fixed H , we prove that the ratio vol(PH Bpn)/ vol(Bpn-1) is non-decreasing in p∈[1,+∈fty] . Naor, A. verfasserin aut Enthalten in Discrete & computational geometry New York, NY : Springer, 1986 27(2002), 2 vom: 01. Jan., Seite 215-226 (DE-627)253722330 (DE-600)1459007-4 1432-0444 nnns volume:27 year:2002 number:2 day:01 month:01 pages:215-226 https://dx.doi.org/10.1007/s00454-001-0066-3 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OPC-MAT SSG-OPC-ASE GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_121 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_206 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_267 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_374 GBV_ILN_602 GBV_ILN_636 GBV_ILN_647 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2018 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2043 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2158 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2193 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_2808 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4277 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4346 GBV_ILN_4367 GBV_ILN_4393 GBV_ILN_4700 GBV_ILN_4753 31.59 ASE 31.12 ASE 31.76 ASE AR 27 2002 2 01 01 215-226
allfields_unstemmed	10.1007/s00454-001-0066-3 doi (DE-627)SPR006189792 (SPR)s00454-001-0066-3-e DE-627 ger DE-627 rakwb eng 510 004 ASE 510 004 ASE 31.59 bkl 31.12 bkl 31.76 bkl Barthe, F. verfasserin aut Hyperplane projections of the unit ball of ℓpn 2002 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract Let Bpn={x∈\Rn;\; \sumi=1n \|xi\|p≤ 1} , 1≤ p\le+∈fty . We study the extreme values of the volume of the orthogonal projection of Bpn onto hyperplanes H\subset \Rn . For a fixed H , we prove that the ratio vol(PH Bpn)/ vol(Bpn-1) is non-decreasing in p∈[1,+∈fty] . Naor, A. verfasserin aut Enthalten in Discrete & computational geometry New York, NY : Springer, 1986 27(2002), 2 vom: 01. Jan., Seite 215-226 (DE-627)253722330 (DE-600)1459007-4 1432-0444 nnns volume:27 year:2002 number:2 day:01 month:01 pages:215-226 https://dx.doi.org/10.1007/s00454-001-0066-3 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OPC-MAT SSG-OPC-ASE GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_121 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_206 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_267 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_374 GBV_ILN_602 GBV_ILN_636 GBV_ILN_647 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2018 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2043 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2158 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2193 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_2808 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4277 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4346 GBV_ILN_4367 GBV_ILN_4393 GBV_ILN_4700 GBV_ILN_4753 31.59 ASE 31.12 ASE 31.76 ASE AR 27 2002 2 01 01 215-226
allfieldsGer	10.1007/s00454-001-0066-3 doi (DE-627)SPR006189792 (SPR)s00454-001-0066-3-e DE-627 ger DE-627 rakwb eng 510 004 ASE 510 004 ASE 31.59 bkl 31.12 bkl 31.76 bkl Barthe, F. verfasserin aut Hyperplane projections of the unit ball of ℓpn 2002 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract Let Bpn={x∈\Rn;\; \sumi=1n \|xi\|p≤ 1} , 1≤ p\le+∈fty . We study the extreme values of the volume of the orthogonal projection of Bpn onto hyperplanes H\subset \Rn . For a fixed H , we prove that the ratio vol(PH Bpn)/ vol(Bpn-1) is non-decreasing in p∈[1,+∈fty] . Naor, A. verfasserin aut Enthalten in Discrete & computational geometry New York, NY : Springer, 1986 27(2002), 2 vom: 01. Jan., Seite 215-226 (DE-627)253722330 (DE-600)1459007-4 1432-0444 nnns volume:27 year:2002 number:2 day:01 month:01 pages:215-226 https://dx.doi.org/10.1007/s00454-001-0066-3 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OPC-MAT SSG-OPC-ASE GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_121 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_206 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_267 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_374 GBV_ILN_602 GBV_ILN_636 GBV_ILN_647 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2018 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2043 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2158 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2193 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_2808 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4277 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4346 GBV_ILN_4367 GBV_ILN_4393 GBV_ILN_4700 GBV_ILN_4753 31.59 ASE 31.12 ASE 31.76 ASE AR 27 2002 2 01 01 215-226
allfieldsSound	10.1007/s00454-001-0066-3 doi (DE-627)SPR006189792 (SPR)s00454-001-0066-3-e DE-627 ger DE-627 rakwb eng 510 004 ASE 510 004 ASE 31.59 bkl 31.12 bkl 31.76 bkl Barthe, F. verfasserin aut Hyperplane projections of the unit ball of ℓpn 2002 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract Let Bpn={x∈\Rn;\; \sumi=1n \|xi\|p≤ 1} , 1≤ p\le+∈fty . We study the extreme values of the volume of the orthogonal projection of Bpn onto hyperplanes H\subset \Rn . For a fixed H , we prove that the ratio vol(PH Bpn)/ vol(Bpn-1) is non-decreasing in p∈[1,+∈fty] . Naor, A. verfasserin aut Enthalten in Discrete & computational geometry New York, NY : Springer, 1986 27(2002), 2 vom: 01. Jan., Seite 215-226 (DE-627)253722330 (DE-600)1459007-4 1432-0444 nnns volume:27 year:2002 number:2 day:01 month:01 pages:215-226 https://dx.doi.org/10.1007/s00454-001-0066-3 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OPC-MAT SSG-OPC-ASE GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_121 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_206 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_267 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_374 GBV_ILN_602 GBV_ILN_636 GBV_ILN_647 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2018 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2043 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2158 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2193 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_2808 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4277 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4346 GBV_ILN_4367 GBV_ILN_4393 GBV_ILN_4700 GBV_ILN_4753 31.59 ASE 31.12 ASE 31.76 ASE AR 27 2002 2 01 01 215-226
language	English
source	Enthalten in Discrete & computational geometry 27(2002), 2 vom: 01. Jan., Seite 215-226 volume:27 year:2002 number:2 day:01 month:01 pages:215-226
sourceStr	Enthalten in Discrete & computational geometry 27(2002), 2 vom: 01. Jan., Seite 215-226 volume:27 year:2002 number:2 day:01 month:01 pages:215-226
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container_title	Discrete & computational geometry
authorswithroles_txt_mv	Barthe, F. @@aut@@ Naor, A. @@aut@@
publishDateDaySort_date	2002-01-01T00:00:00Z
hierarchy_top_id	253722330
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author	Barthe, F.
spellingShingle	Barthe, F. ddc 510 bkl 31.59 bkl 31.12 bkl 31.76 Hyperplane projections of the unit ball of ℓpn
authorStr	Barthe, F.
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illustrated	Not Illustrated
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topic_title	510 004 ASE 31.59 bkl 31.12 bkl 31.76 bkl Hyperplane projections of the unit ball of ℓpn
topic	ddc 510 bkl 31.59 bkl 31.12 bkl 31.76
topic_unstemmed	ddc 510 bkl 31.59 bkl 31.12 bkl 31.76
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title	Hyperplane projections of the unit ball of ℓpn
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title_full	Hyperplane projections of the unit ball of ℓpn
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format_se	Elektronische Aufsätze
author-letter	Barthe, F.
doi_str_mv	10.1007/s00454-001-0066-3
dewey-full	510 004
author2-role	verfasserin
title_sort	hyperplane projections of the unit ball of ℓpn
title_auth	Hyperplane projections of the unit ball of ℓpn
abstract	Abstract Let Bpn={x∈\Rn;\; \sumi=1n \|xi\|p≤ 1} , 1≤ p\le+∈fty . We study the extreme values of the volume of the orthogonal projection of Bpn onto hyperplanes H\subset \Rn . For a fixed H , we prove that the ratio vol(PH Bpn)/ vol(Bpn-1) is non-decreasing in p∈[1,+∈fty] .
abstractGer	Abstract Let Bpn={x∈\Rn;\; \sumi=1n \|xi\|p≤ 1} , 1≤ p\le+∈fty . We study the extreme values of the volume of the orthogonal projection of Bpn onto hyperplanes H\subset \Rn . For a fixed H , we prove that the ratio vol(PH Bpn)/ vol(Bpn-1) is non-decreasing in p∈[1,+∈fty] .
abstract_unstemmed	Abstract Let Bpn={x∈\Rn;\; \sumi=1n \|xi\|p≤ 1} , 1≤ p\le+∈fty . We study the extreme values of the volume of the orthogonal projection of Bpn onto hyperplanes H\subset \Rn . For a fixed H , we prove that the ratio vol(PH Bpn)/ vol(Bpn-1) is non-decreasing in p∈[1,+∈fty] .
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container_issue	2
title_short	Hyperplane projections of the unit ball of ℓpn
url	https://dx.doi.org/10.1007/s00454-001-0066-3
remote_bool	true
author2	Naor, A.
author2Str	Naor, A.
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doi_str	10.1007/s00454-001-0066-3
up_date	2024-07-03T21:25:50.129Z
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score	7.401664

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Hyperplane projections of the unit ball of ℓpn

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