JB-algebras of rank zero
A unital JB-algebra A is defined to be of rank zero if the set of invertible elements is dense in A . A non-unital JB-algebra A is said to be of rank zero if its unitization A ⊕ R 1 is so. We show that a unital JB-algebra A is of rank zero if and only if the set of elements with finite spectrum is d...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Ghorbanipour, Somaye [verfasserIn] |
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2019 |
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| Schlagwörter: |
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| Umfang: |
14 |
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| Übergeordnetes Werk: |
Enthalten in: In silico drug repurposing in COVID-19: A network-based analysis - Sibilio, Pasquale ELSEVIER, 2021, Amsterdam [u.a.] |
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| Übergeordnetes Werk: |
volume:479 ; year:2019 ; number:1 ; day:1 ; month:11 ; pages:963-976 ; extent:14 |
| Links: |
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| DOI / URN: |
10.1016/j.jmaa.2019.06.060 |
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| 520 | |a A unital JB-algebra A is defined to be of rank zero if the set of invertible elements is dense in A . A non-unital JB-algebra A is said to be of rank zero if its unitization A ⊕ R 1 is so. We show that a unital JB-algebra A is of rank zero if and only if the set of elements with finite spectrum is dense in A if and only if every inner ideal of A admits an approximate identity (not necessarily increasing) consisting of projections. Moreover, we establish that zero rank is inherited by every closed ideal and every quotient algebra. | ||
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10.1016/j.jmaa.2019.06.060 doi GBV00000000000703.pica (DE-627)ELV047468114 (ELSEVIER)S0022-247X(19)30534-7 DE-627 ger DE-627 rakwb eng 610 VZ 44.40 bkl Ghorbanipour, Somaye verfasserin aut JB-algebras of rank zero 2019 14 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier A unital JB-algebra A is defined to be of rank zero if the set of invertible elements is dense in A . A non-unital JB-algebra A is said to be of rank zero if its unitization A ⊕ R 1 is so. We show that a unital JB-algebra A is of rank zero if and only if the set of elements with finite spectrum is dense in A if and only if every inner ideal of A admits an approximate identity (not necessarily increasing) consisting of projections. Moreover, we establish that zero rank is inherited by every closed ideal and every quotient algebra. Rank zero Elsevier JB-algebra Elsevier Inner ideal Elsevier Real rank zero Elsevier Hejazian, Shirin oth Enthalten in Elsevier Sibilio, Pasquale ELSEVIER In silico drug repurposing in COVID-19: A network-based analysis 2021 Amsterdam [u.a.] (DE-627)ELV006634001 volume:479 year:2019 number:1 day:1 month:11 pages:963-976 extent:14 https://doi.org/10.1016/j.jmaa.2019.06.060 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA SSG-OPC-PHA 44.40 Pharmazie Pharmazeutika VZ AR 479 2019 1 1 1101 963-976 14 |
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A unital JB-algebra A is defined to be of rank zero if the set of invertible elements is dense in A . A non-unital JB-algebra A is said to be of rank zero if its unitization A ⊕ R 1 is so. We show that a unital JB-algebra A is of rank zero if and only if the set of elements with finite spectrum is dense in A if and only if every inner ideal of A admits an approximate identity (not necessarily increasing) consisting of projections. Moreover, we establish that zero rank is inherited by every closed ideal and every quotient algebra. |
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A unital JB-algebra A is defined to be of rank zero if the set of invertible elements is dense in A . A non-unital JB-algebra A is said to be of rank zero if its unitization A ⊕ R 1 is so. We show that a unital JB-algebra A is of rank zero if and only if the set of elements with finite spectrum is dense in A if and only if every inner ideal of A admits an approximate identity (not necessarily increasing) consisting of projections. Moreover, we establish that zero rank is inherited by every closed ideal and every quotient algebra. |
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A unital JB-algebra A is defined to be of rank zero if the set of invertible elements is dense in A . A non-unital JB-algebra A is said to be of rank zero if its unitization A ⊕ R 1 is so. We show that a unital JB-algebra A is of rank zero if and only if the set of elements with finite spectrum is dense in A if and only if every inner ideal of A admits an approximate identity (not necessarily increasing) consisting of projections. Moreover, we establish that zero rank is inherited by every closed ideal and every quotient algebra. |
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<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01000caa a22002652 4500</leader><controlfield tag="001">ELV047468114</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20230624134956.0</controlfield><controlfield tag="007">cr uuu---uuuuu</controlfield><controlfield tag="008">191021s2019 xx |||||o 00| ||eng c</controlfield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1016/j.jmaa.2019.06.060</subfield><subfield code="2">doi</subfield></datafield><datafield tag="028" ind1="5" ind2="2"><subfield code="a">GBV00000000000703.pica</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)ELV047468114</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(ELSEVIER)S0022-247X(19)30534-7</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-627</subfield><subfield code="b">ger</subfield><subfield code="c">DE-627</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1=" " ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="082" ind1="0" ind2="4"><subfield code="a">610</subfield><subfield code="q">VZ</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">44.40</subfield><subfield code="2">bkl</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Ghorbanipour, Somaye</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">JB-algebras of rank zero</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2019</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">14</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">nicht spezifiziert</subfield><subfield code="b">zzz</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">nicht spezifiziert</subfield><subfield code="b">z</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">nicht spezifiziert</subfield><subfield code="b">zu</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">A unital JB-algebra A is defined to be of rank zero if the set of invertible elements is dense in A . 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