Matches in SemOpenAlex for { <https://semopenalex.org/work/W2078502776> ?p ?o ?g. }
Showing items 1 to 82 of
82
with 100 items per page.
- W2078502776 endingPage "1333" @default.
- W2078502776 startingPage "1315" @default.
- W2078502776 abstract "Each tripotent u in the bidual A ⁎ ⁎ of a JB ⁎ -triple A , compact relative to A , gives rise to a complex Banach space P 2 ( u ) A with bidual the JBW ⁎ -algebra A 2 ⁎ ⁎ ( u ) that is a weak ⁎ -closed subtriple of A ⁎ ⁎ . Using the fact that the family of tripotents in the JBW ⁎ -algebra A 2 ⁎ ⁎ ( u ) , compact relative to P 2 ( u ) A , coincides with the family of tripotents in A 2 ⁎ ⁎ ( u ) , compact relative to A , the facial structure of the unit balls in P 2 ( u ) A and its dual A 2 ⁎ ⁎ ( u ) ⁎ , the predual of A 2 ⁎ ⁎ ( u ) , is revealed. The JBW-algebra B u ⁎ ⁎ , that is the self-adjoint part of the JBW ⁎ -algebra A 2 ⁎ ⁎ ( u ) , is the bidual of the unital GM-space B u that consists of the space of all real-valued weak ⁎ -continuous affine functions on the normal state space of A 2 ⁎ ⁎ ( u ) . It is therefore possible to investigate the ‘real’ local facial structure of the unit balls in B u , B u ⁎ , and B u ⁎ ⁎ . Some of the results obtained are applied to the problem of identifying the norm-exposed faces of the unit ball A 1 in A . It is shown that both locally and globally the norm-exposed faces of A 1 are those corresponding to compact support tripotents of elements of norm one in the dual space A ⁎ of A ." @default.
- W2078502776 created "2016-06-24" @default.
- W2078502776 creator A5014010954 @default.
- W2078502776 creator A5019907385 @default.
- W2078502776 date "2015-01-01" @default.
- W2078502776 modified "2023-10-17" @default.
- W2078502776 title "Local facial structure and norm-exposed faces of the unit ball in a JB⁎-triple" @default.
- W2078502776 cites W117144981 @default.
- W2078502776 cites W120750886 @default.
- W2078502776 cites W1576653736 @default.
- W2078502776 cites W1584041513 @default.
- W2078502776 cites W19185329 @default.
- W2078502776 cites W1970654753 @default.
- W2078502776 cites W1972329493 @default.
- W2078502776 cites W1991797251 @default.
- W2078502776 cites W1995846376 @default.
- W2078502776 cites W2001363772 @default.
- W2078502776 cites W2002760026 @default.
- W2078502776 cites W2022355028 @default.
- W2078502776 cites W2026588104 @default.
- W2078502776 cites W2029656491 @default.
- W2078502776 cites W2037683121 @default.
- W2078502776 cites W2058947462 @default.
- W2078502776 cites W2080011611 @default.
- W2078502776 cites W2083716929 @default.
- W2078502776 cites W2088494278 @default.
- W2078502776 cites W2090840471 @default.
- W2078502776 cites W2135401692 @default.
- W2078502776 cites W2135773227 @default.
- W2078502776 cites W2138367528 @default.
- W2078502776 cites W2141432055 @default.
- W2078502776 cites W2334857049 @default.
- W2078502776 cites W2531524271 @default.
- W2078502776 cites W4236990539 @default.
- W2078502776 cites W48695513 @default.
- W2078502776 doi "https://doi.org/10.1016/j.jmaa.2014.07.073" @default.
- W2078502776 hasPublicationYear "2015" @default.
- W2078502776 type Work @default.
- W2078502776 sameAs 2078502776 @default.
- W2078502776 citedByCount "0" @default.
- W2078502776 crossrefType "journal-article" @default.
- W2078502776 hasAuthorship W2078502776A5014010954 @default.
- W2078502776 hasAuthorship W2078502776A5019907385 @default.
- W2078502776 hasBestOaLocation W20785027761 @default.
- W2078502776 hasConcept C111472728 @default.
- W2078502776 hasConcept C122041747 @default.
- W2078502776 hasConcept C134306372 @default.
- W2078502776 hasConcept C138885662 @default.
- W2078502776 hasConcept C191795146 @default.
- W2078502776 hasConcept C191948623 @default.
- W2078502776 hasConcept C202444582 @default.
- W2078502776 hasConcept C33923547 @default.
- W2078502776 hasConceptScore W2078502776C111472728 @default.
- W2078502776 hasConceptScore W2078502776C122041747 @default.
- W2078502776 hasConceptScore W2078502776C134306372 @default.
- W2078502776 hasConceptScore W2078502776C138885662 @default.
- W2078502776 hasConceptScore W2078502776C191795146 @default.
- W2078502776 hasConceptScore W2078502776C191948623 @default.
- W2078502776 hasConceptScore W2078502776C202444582 @default.
- W2078502776 hasConceptScore W2078502776C33923547 @default.
- W2078502776 hasFunder F4320334779 @default.
- W2078502776 hasIssue "2" @default.
- W2078502776 hasLocation W20785027761 @default.
- W2078502776 hasOpenAccess W2078502776 @default.
- W2078502776 hasPrimaryLocation W20785027761 @default.
- W2078502776 hasRelatedWork W1970843405 @default.
- W2078502776 hasRelatedWork W2080003215 @default.
- W2078502776 hasRelatedWork W2103507790 @default.
- W2078502776 hasRelatedWork W2141385105 @default.
- W2078502776 hasRelatedWork W2153461447 @default.
- W2078502776 hasRelatedWork W2208780874 @default.
- W2078502776 hasRelatedWork W2963732414 @default.
- W2078502776 hasRelatedWork W2999080870 @default.
- W2078502776 hasRelatedWork W4226090682 @default.
- W2078502776 hasRelatedWork W195944525 @default.
- W2078502776 hasVolume "421" @default.
- W2078502776 isParatext "false" @default.
- W2078502776 isRetracted "false" @default.
- W2078502776 magId "2078502776" @default.
- W2078502776 workType "article" @default.