Dual Kadec–Klee property and fixed points
A Banach space X is said to have the dual Kadec–Klee property iff on the unit sphere of the dual space X ⁎ the weak*-topology coincides with the norm-topology. A. Amini-Harandi and M. Fakhar extended a theorem of B. Ricceri concerning the Kadec–Klee property by showing that if X has the dual Kadec–K...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Saint Raymond, Jean [verfasserIn] |
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2017transfer abstract |
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| Schlagwörter: |
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| Umfang: |
20 |
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| Übergeordnetes Werk: |
Enthalten in: Corrigendum to “Rifampicin resistance mutations in the rpoB gene of - Urusova, Darya V. ELSEVIER, 2022, Amsterdam [u.a.] |
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| Übergeordnetes Werk: |
volume:272 ; year:2017 ; number:9 ; day:1 ; month:05 ; pages:3825-3844 ; extent:20 |
| Links: |
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| DOI / URN: |
10.1016/j.jfa.2016.12.016 |
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ELV025651579 |
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| 520 | |a A Banach space X is said to have the dual Kadec–Klee property iff on the unit sphere of the dual space X ⁎ the weak*-topology coincides with the norm-topology. A. Amini-Harandi and M. Fakhar extended a theorem of B. Ricceri concerning the Kadec–Klee property by showing that if X has the dual Kadec–Klee property then for every compact mapping φ : B X ⁎ → X ∖ { 0 } there exists some f in the unit sphere of X ⁎ such that 〈 f , φ ( f ) 〉 = ‖ φ ( f ) ‖ and conjectured that this yields a necessary and sufficient condition for X to have the dual Kadec–Klee property. We prove here that it is almost the case: we introduce a weakening of the dual Kadec–Klee property, here called the NAKK* property, and show that this property is equivalent to the above property about compact mappings from B X ⁎ to X ∖ { 0 } . | ||
| 520 | |a A Banach space X is said to have the dual Kadec–Klee property iff on the unit sphere of the dual space X ⁎ the weak*-topology coincides with the norm-topology. A. Amini-Harandi and M. Fakhar extended a theorem of B. Ricceri concerning the Kadec–Klee property by showing that if X has the dual Kadec–Klee property then for every compact mapping φ : B X ⁎ → X ∖ { 0 } there exists some f in the unit sphere of X ⁎ such that 〈 f , φ ( f ) 〉 = ‖ φ ( f ) ‖ and conjectured that this yields a necessary and sufficient condition for X to have the dual Kadec–Klee property. We prove here that it is almost the case: we introduce a weakening of the dual Kadec–Klee property, here called the NAKK* property, and show that this property is equivalent to the above property about compact mappings from B X ⁎ to X ∖ { 0 } . | ||
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10.1016/j.jfa.2016.12.016 doi GBVA2017021000028.pica (DE-627)ELV025651579 (ELSEVIER)S0022-1236(16)30403-7 DE-627 ger DE-627 rakwb eng 510 510 DE-600 570 VZ BIODIV DE-30 fid 44.00 bkl Saint Raymond, Jean verfasserin aut Dual Kadec–Klee property and fixed points 2017transfer abstract 20 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier A Banach space X is said to have the dual Kadec–Klee property iff on the unit sphere of the dual space X ⁎ the weak*-topology coincides with the norm-topology. A. Amini-Harandi and M. Fakhar extended a theorem of B. Ricceri concerning the Kadec–Klee property by showing that if X has the dual Kadec–Klee property then for every compact mapping φ : B X ⁎ → X ∖ { 0 } there exists some f in the unit sphere of X ⁎ such that 〈 f , φ ( f ) 〉 = ‖ φ ( f ) ‖ and conjectured that this yields a necessary and sufficient condition for X to have the dual Kadec–Klee property. We prove here that it is almost the case: we introduce a weakening of the dual Kadec–Klee property, here called the NAKK* property, and show that this property is equivalent to the above property about compact mappings from B X ⁎ to X ∖ { 0 } . A Banach space X is said to have the dual Kadec–Klee property iff on the unit sphere of the dual space X ⁎ the weak*-topology coincides with the norm-topology. A. Amini-Harandi and M. Fakhar extended a theorem of B. Ricceri concerning the Kadec–Klee property by showing that if X has the dual Kadec–Klee property then for every compact mapping φ : B X ⁎ → X ∖ { 0 } there exists some f in the unit sphere of X ⁎ such that 〈 f , φ ( f ) 〉 = ‖ φ ( f ) ‖ and conjectured that this yields a necessary and sufficient condition for X to have the dual Kadec–Klee property. We prove here that it is almost the case: we introduce a weakening of the dual Kadec–Klee property, here called the NAKK* property, and show that this property is equivalent to the above property about compact mappings from B X ⁎ to X ∖ { 0 } . 52A40 Elsevier 46A25 Elsevier 46B10 Elsevier Enthalten in Elsevier Urusova, Darya V. ELSEVIER Corrigendum to “Rifampicin resistance mutations in the rpoB gene of 2022 Amsterdam [u.a.] (DE-627)ELV007566018 volume:272 year:2017 number:9 day:1 month:05 pages:3825-3844 extent:20 https://doi.org/10.1016/j.jfa.2016.12.016 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U FID-BIODIV SSG-OLC-PHA 44.00 Medizin: Allgemeines VZ AR 272 2017 9 1 0501 3825-3844 20 045F 510 |
| spelling |
10.1016/j.jfa.2016.12.016 doi GBVA2017021000028.pica (DE-627)ELV025651579 (ELSEVIER)S0022-1236(16)30403-7 DE-627 ger DE-627 rakwb eng 510 510 DE-600 570 VZ BIODIV DE-30 fid 44.00 bkl Saint Raymond, Jean verfasserin aut Dual Kadec–Klee property and fixed points 2017transfer abstract 20 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier A Banach space X is said to have the dual Kadec–Klee property iff on the unit sphere of the dual space X ⁎ the weak*-topology coincides with the norm-topology. A. Amini-Harandi and M. Fakhar extended a theorem of B. Ricceri concerning the Kadec–Klee property by showing that if X has the dual Kadec–Klee property then for every compact mapping φ : B X ⁎ → X ∖ { 0 } there exists some f in the unit sphere of X ⁎ such that 〈 f , φ ( f ) 〉 = ‖ φ ( f ) ‖ and conjectured that this yields a necessary and sufficient condition for X to have the dual Kadec–Klee property. We prove here that it is almost the case: we introduce a weakening of the dual Kadec–Klee property, here called the NAKK* property, and show that this property is equivalent to the above property about compact mappings from B X ⁎ to X ∖ { 0 } . A Banach space X is said to have the dual Kadec–Klee property iff on the unit sphere of the dual space X ⁎ the weak*-topology coincides with the norm-topology. A. Amini-Harandi and M. Fakhar extended a theorem of B. Ricceri concerning the Kadec–Klee property by showing that if X has the dual Kadec–Klee property then for every compact mapping φ : B X ⁎ → X ∖ { 0 } there exists some f in the unit sphere of X ⁎ such that 〈 f , φ ( f ) 〉 = ‖ φ ( f ) ‖ and conjectured that this yields a necessary and sufficient condition for X to have the dual Kadec–Klee property. We prove here that it is almost the case: we introduce a weakening of the dual Kadec–Klee property, here called the NAKK* property, and show that this property is equivalent to the above property about compact mappings from B X ⁎ to X ∖ { 0 } . 52A40 Elsevier 46A25 Elsevier 46B10 Elsevier Enthalten in Elsevier Urusova, Darya V. ELSEVIER Corrigendum to “Rifampicin resistance mutations in the rpoB gene of 2022 Amsterdam [u.a.] (DE-627)ELV007566018 volume:272 year:2017 number:9 day:1 month:05 pages:3825-3844 extent:20 https://doi.org/10.1016/j.jfa.2016.12.016 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U FID-BIODIV SSG-OLC-PHA 44.00 Medizin: Allgemeines VZ AR 272 2017 9 1 0501 3825-3844 20 045F 510 |
| allfields_unstemmed |
10.1016/j.jfa.2016.12.016 doi GBVA2017021000028.pica (DE-627)ELV025651579 (ELSEVIER)S0022-1236(16)30403-7 DE-627 ger DE-627 rakwb eng 510 510 DE-600 570 VZ BIODIV DE-30 fid 44.00 bkl Saint Raymond, Jean verfasserin aut Dual Kadec–Klee property and fixed points 2017transfer abstract 20 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier A Banach space X is said to have the dual Kadec–Klee property iff on the unit sphere of the dual space X ⁎ the weak*-topology coincides with the norm-topology. A. Amini-Harandi and M. Fakhar extended a theorem of B. Ricceri concerning the Kadec–Klee property by showing that if X has the dual Kadec–Klee property then for every compact mapping φ : B X ⁎ → X ∖ { 0 } there exists some f in the unit sphere of X ⁎ such that 〈 f , φ ( f ) 〉 = ‖ φ ( f ) ‖ and conjectured that this yields a necessary and sufficient condition for X to have the dual Kadec–Klee property. We prove here that it is almost the case: we introduce a weakening of the dual Kadec–Klee property, here called the NAKK* property, and show that this property is equivalent to the above property about compact mappings from B X ⁎ to X ∖ { 0 } . A Banach space X is said to have the dual Kadec–Klee property iff on the unit sphere of the dual space X ⁎ the weak*-topology coincides with the norm-topology. A. Amini-Harandi and M. Fakhar extended a theorem of B. Ricceri concerning the Kadec–Klee property by showing that if X has the dual Kadec–Klee property then for every compact mapping φ : B X ⁎ → X ∖ { 0 } there exists some f in the unit sphere of X ⁎ such that 〈 f , φ ( f ) 〉 = ‖ φ ( f ) ‖ and conjectured that this yields a necessary and sufficient condition for X to have the dual Kadec–Klee property. We prove here that it is almost the case: we introduce a weakening of the dual Kadec–Klee property, here called the NAKK* property, and show that this property is equivalent to the above property about compact mappings from B X ⁎ to X ∖ { 0 } . 52A40 Elsevier 46A25 Elsevier 46B10 Elsevier Enthalten in Elsevier Urusova, Darya V. ELSEVIER Corrigendum to “Rifampicin resistance mutations in the rpoB gene of 2022 Amsterdam [u.a.] (DE-627)ELV007566018 volume:272 year:2017 number:9 day:1 month:05 pages:3825-3844 extent:20 https://doi.org/10.1016/j.jfa.2016.12.016 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U FID-BIODIV SSG-OLC-PHA 44.00 Medizin: Allgemeines VZ AR 272 2017 9 1 0501 3825-3844 20 045F 510 |
| allfieldsGer |
10.1016/j.jfa.2016.12.016 doi GBVA2017021000028.pica (DE-627)ELV025651579 (ELSEVIER)S0022-1236(16)30403-7 DE-627 ger DE-627 rakwb eng 510 510 DE-600 570 VZ BIODIV DE-30 fid 44.00 bkl Saint Raymond, Jean verfasserin aut Dual Kadec–Klee property and fixed points 2017transfer abstract 20 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier A Banach space X is said to have the dual Kadec–Klee property iff on the unit sphere of the dual space X ⁎ the weak*-topology coincides with the norm-topology. A. Amini-Harandi and M. Fakhar extended a theorem of B. Ricceri concerning the Kadec–Klee property by showing that if X has the dual Kadec–Klee property then for every compact mapping φ : B X ⁎ → X ∖ { 0 } there exists some f in the unit sphere of X ⁎ such that 〈 f , φ ( f ) 〉 = ‖ φ ( f ) ‖ and conjectured that this yields a necessary and sufficient condition for X to have the dual Kadec–Klee property. We prove here that it is almost the case: we introduce a weakening of the dual Kadec–Klee property, here called the NAKK* property, and show that this property is equivalent to the above property about compact mappings from B X ⁎ to X ∖ { 0 } . A Banach space X is said to have the dual Kadec–Klee property iff on the unit sphere of the dual space X ⁎ the weak*-topology coincides with the norm-topology. A. Amini-Harandi and M. Fakhar extended a theorem of B. Ricceri concerning the Kadec–Klee property by showing that if X has the dual Kadec–Klee property then for every compact mapping φ : B X ⁎ → X ∖ { 0 } there exists some f in the unit sphere of X ⁎ such that 〈 f , φ ( f ) 〉 = ‖ φ ( f ) ‖ and conjectured that this yields a necessary and sufficient condition for X to have the dual Kadec–Klee property. We prove here that it is almost the case: we introduce a weakening of the dual Kadec–Klee property, here called the NAKK* property, and show that this property is equivalent to the above property about compact mappings from B X ⁎ to X ∖ { 0 } . 52A40 Elsevier 46A25 Elsevier 46B10 Elsevier Enthalten in Elsevier Urusova, Darya V. ELSEVIER Corrigendum to “Rifampicin resistance mutations in the rpoB gene of 2022 Amsterdam [u.a.] (DE-627)ELV007566018 volume:272 year:2017 number:9 day:1 month:05 pages:3825-3844 extent:20 https://doi.org/10.1016/j.jfa.2016.12.016 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U FID-BIODIV SSG-OLC-PHA 44.00 Medizin: Allgemeines VZ AR 272 2017 9 1 0501 3825-3844 20 045F 510 |
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10.1016/j.jfa.2016.12.016 doi GBVA2017021000028.pica (DE-627)ELV025651579 (ELSEVIER)S0022-1236(16)30403-7 DE-627 ger DE-627 rakwb eng 510 510 DE-600 570 VZ BIODIV DE-30 fid 44.00 bkl Saint Raymond, Jean verfasserin aut Dual Kadec–Klee property and fixed points 2017transfer abstract 20 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier A Banach space X is said to have the dual Kadec–Klee property iff on the unit sphere of the dual space X ⁎ the weak*-topology coincides with the norm-topology. A. Amini-Harandi and M. Fakhar extended a theorem of B. Ricceri concerning the Kadec–Klee property by showing that if X has the dual Kadec–Klee property then for every compact mapping φ : B X ⁎ → X ∖ { 0 } there exists some f in the unit sphere of X ⁎ such that 〈 f , φ ( f ) 〉 = ‖ φ ( f ) ‖ and conjectured that this yields a necessary and sufficient condition for X to have the dual Kadec–Klee property. We prove here that it is almost the case: we introduce a weakening of the dual Kadec–Klee property, here called the NAKK* property, and show that this property is equivalent to the above property about compact mappings from B X ⁎ to X ∖ { 0 } . A Banach space X is said to have the dual Kadec–Klee property iff on the unit sphere of the dual space X ⁎ the weak*-topology coincides with the norm-topology. A. Amini-Harandi and M. Fakhar extended a theorem of B. Ricceri concerning the Kadec–Klee property by showing that if X has the dual Kadec–Klee property then for every compact mapping φ : B X ⁎ → X ∖ { 0 } there exists some f in the unit sphere of X ⁎ such that 〈 f , φ ( f ) 〉 = ‖ φ ( f ) ‖ and conjectured that this yields a necessary and sufficient condition for X to have the dual Kadec–Klee property. We prove here that it is almost the case: we introduce a weakening of the dual Kadec–Klee property, here called the NAKK* property, and show that this property is equivalent to the above property about compact mappings from B X ⁎ to X ∖ { 0 } . 52A40 Elsevier 46A25 Elsevier 46B10 Elsevier Enthalten in Elsevier Urusova, Darya V. ELSEVIER Corrigendum to “Rifampicin resistance mutations in the rpoB gene of 2022 Amsterdam [u.a.] (DE-627)ELV007566018 volume:272 year:2017 number:9 day:1 month:05 pages:3825-3844 extent:20 https://doi.org/10.1016/j.jfa.2016.12.016 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U FID-BIODIV SSG-OLC-PHA 44.00 Medizin: Allgemeines VZ AR 272 2017 9 1 0501 3825-3844 20 045F 510 |
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A Banach space X is said to have the dual Kadec–Klee property iff on the unit sphere of the dual space X ⁎ the weak*-topology coincides with the norm-topology. A. Amini-Harandi and M. Fakhar extended a theorem of B. Ricceri concerning the Kadec–Klee property by showing that if X has the dual Kadec–Klee property then for every compact mapping φ : B X ⁎ → X ∖ { 0 } there exists some f in the unit sphere of X ⁎ such that 〈 f , φ ( f ) 〉 = ‖ φ ( f ) ‖ and conjectured that this yields a necessary and sufficient condition for X to have the dual Kadec–Klee property. We prove here that it is almost the case: we introduce a weakening of the dual Kadec–Klee property, here called the NAKK* property, and show that this property is equivalent to the above property about compact mappings from B X ⁎ to X ∖ { 0 } . |
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A Banach space X is said to have the dual Kadec–Klee property iff on the unit sphere of the dual space X ⁎ the weak*-topology coincides with the norm-topology. A. Amini-Harandi and M. Fakhar extended a theorem of B. Ricceri concerning the Kadec–Klee property by showing that if X has the dual Kadec–Klee property then for every compact mapping φ : B X ⁎ → X ∖ { 0 } there exists some f in the unit sphere of X ⁎ such that 〈 f , φ ( f ) 〉 = ‖ φ ( f ) ‖ and conjectured that this yields a necessary and sufficient condition for X to have the dual Kadec–Klee property. We prove here that it is almost the case: we introduce a weakening of the dual Kadec–Klee property, here called the NAKK* property, and show that this property is equivalent to the above property about compact mappings from B X ⁎ to X ∖ { 0 } . |
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A Banach space X is said to have the dual Kadec–Klee property iff on the unit sphere of the dual space X ⁎ the weak*-topology coincides with the norm-topology. A. Amini-Harandi and M. Fakhar extended a theorem of B. Ricceri concerning the Kadec–Klee property by showing that if X has the dual Kadec–Klee property then for every compact mapping φ : B X ⁎ → X ∖ { 0 } there exists some f in the unit sphere of X ⁎ such that 〈 f , φ ( f ) 〉 = ‖ φ ( f ) ‖ and conjectured that this yields a necessary and sufficient condition for X to have the dual Kadec–Klee property. We prove here that it is almost the case: we introduce a weakening of the dual Kadec–Klee property, here called the NAKK* property, and show that this property is equivalent to the above property about compact mappings from B X ⁎ to X ∖ { 0 } . |
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