FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W2040203019> ?p ?o ?g. }

• W2040203019 endingPage "40" @default.
• W2040203019 startingPage "40" @default.
• W2040203019 abstract "In this paper an example is given of a separable Banach space with the Radon-Nikodym property that is not isomorphic to a subspace of a separable dual space. In [5] Uhl showed that if every separable closed linear subspace of a Banach space X is isomorphic to a subspace of a separable dual, then X has the Radon-Nikodyim property (RNP). In that same paper, he asked whether every separable Banach space X with the RNP is isomorphic to a subspace of a separable dual space. Three years later, in 1975, Stegall [4] showed that if X is a subspace of a dual space, then the answer to Uhl's question is yes. We present in this note an example which shows that for general Banach spaces the answer is no. An example of a separable Banach space that has the RNP and is not isometric (but is isomorphic) to a subspace of a separable dual is given in [2] and [3]. Our construction employs this example as well as other results obtained in these papers. We will state the definitions and results to be used in this note and refer the reader to [2] for the details. Let X be a Banach space and let e be a positive number. Let S = f(k,j): k e N,j E N, 1 E. A finite tree with separation constant e is a function T:Sr, X that satisfies conditions (i), (ii) and (iii). It is known that if a Banach space X contains a tree, then X does not have the Radon-Nikodym property [1, p. 127]. The Banach space X is said to have the (e, 8)-neighborly tree property (NTP) if there are positive numbers e and 8 for which 8 < e/4 and the closed unit ball of X contains a sequence (Tn) of finite trees satisfying: (i) Each Tn is defined on Sn. (ii) Each Tn has separation constant e. Presented to the Society October 16, 1978; received by the editors January 25, 1979. AMS (MOS) subject classifications (1970). Primary 46B99; Secondary 46G05." @default.
• W2040203019 created "2016-06-24" @default.
• W2040203019 creator A5032574893 @default.
• W2040203019 creator A5061859965 @default.
• W2040203019 date "1980-01-01" @default.
• W2040203019 modified "2023-09-26" @default.
• W2040203019 title "A separable Banach space with the Radon-Nikodým property that is not isomorphic to a subspace of a separable dual" @default.
• W2040203019 cites W2033330937 @default.
• W2040203019 cites W2081529370 @default.
• W2040203019 doi "https://doi.org/10.1090/s0002-9939-1980-0548080-4" @default.
• W2040203019 hasPublicationYear "1980" @default.
• W2040203019 type Work @default.
• W2040203019 sameAs 2040203019 @default.
• W2040203019 citedByCount "5" @default.
• W2040203019 crossrefType "journal-article" @default.
• W2040203019 hasAuthorship W2040203019A5032574893 @default.
• W2040203019 hasAuthorship W2040203019A5061859965 @default.
• W2040203019 hasBestOaLocation W20402030191 @default.
• W2040203019 hasConcept C104317684 @default.
• W2040203019 hasConcept C109321718 @default.
• W2040203019 hasConcept C111919701 @default.
• W2040203019 hasConcept C114614502 @default.
• W2040203019 hasConcept C118615104 @default.
• W2040203019 hasConcept C12362212 @default.
• W2040203019 hasConcept C124952713 @default.
• W2040203019 hasConcept C132954091 @default.
• W2040203019 hasConcept C134306372 @default.
• W2040203019 hasConcept C142362112 @default.
• W2040203019 hasConcept C152306953 @default.
• W2040203019 hasConcept C165593952 @default.
• W2040203019 hasConcept C172294467 @default.
• W2040203019 hasConcept C185592680 @default.
• W2040203019 hasConcept C202444582 @default.
• W2040203019 hasConcept C2778572836 @default.
• W2040203019 hasConcept C2780980858 @default.
• W2040203019 hasConcept C32834561 @default.
• W2040203019 hasConcept C33549677 @default.
• W2040203019 hasConcept C33923547 @default.
• W2040203019 hasConcept C41008148 @default.
• W2040203019 hasConcept C55112680 @default.
• W2040203019 hasConcept C55493867 @default.
• W2040203019 hasConcept C6183050 @default.
• W2040203019 hasConcept C70710897 @default.
• W2040203019 hasConcept C80739010 @default.
• W2040203019 hasConceptScore W2040203019C104317684 @default.
• W2040203019 hasConceptScore W2040203019C109321718 @default.
• W2040203019 hasConceptScore W2040203019C111919701 @default.
• W2040203019 hasConceptScore W2040203019C114614502 @default.
• W2040203019 hasConceptScore W2040203019C118615104 @default.
• W2040203019 hasConceptScore W2040203019C12362212 @default.
• W2040203019 hasConceptScore W2040203019C124952713 @default.
• W2040203019 hasConceptScore W2040203019C132954091 @default.
• W2040203019 hasConceptScore W2040203019C134306372 @default.
• W2040203019 hasConceptScore W2040203019C142362112 @default.
• W2040203019 hasConceptScore W2040203019C152306953 @default.
• W2040203019 hasConceptScore W2040203019C165593952 @default.
• W2040203019 hasConceptScore W2040203019C172294467 @default.
• W2040203019 hasConceptScore W2040203019C185592680 @default.
• W2040203019 hasConceptScore W2040203019C202444582 @default.
• W2040203019 hasConceptScore W2040203019C2778572836 @default.
• W2040203019 hasConceptScore W2040203019C2780980858 @default.
• W2040203019 hasConceptScore W2040203019C32834561 @default.
• W2040203019 hasConceptScore W2040203019C33549677 @default.
• W2040203019 hasConceptScore W2040203019C33923547 @default.
• W2040203019 hasConceptScore W2040203019C41008148 @default.
• W2040203019 hasConceptScore W2040203019C55112680 @default.
• W2040203019 hasConceptScore W2040203019C55493867 @default.
• W2040203019 hasConceptScore W2040203019C6183050 @default.
• W2040203019 hasConceptScore W2040203019C70710897 @default.
• W2040203019 hasConceptScore W2040203019C80739010 @default.
• W2040203019 hasIssue "1" @default.
• W2040203019 hasLocation W20402030191 @default.
• W2040203019 hasOpenAccess W2040203019 @default.
• W2040203019 hasPrimaryLocation W20402030191 @default.
• W2040203019 hasRelatedWork W109169360 @default.
• W2040203019 hasRelatedWork W1449424448 @default.
• W2040203019 hasRelatedWork W176659905 @default.
• W2040203019 hasRelatedWork W1770101961 @default.
• W2040203019 hasRelatedWork W1818052633 @default.
• W2040203019 hasRelatedWork W1964671684 @default.
• W2040203019 hasRelatedWork W2001838289 @default.
• W2040203019 hasRelatedWork W2065638954 @default.
• W2040203019 hasRelatedWork W2139426577 @default.
• W2040203019 hasRelatedWork W2151900944 @default.
• W2040203019 hasRelatedWork W2523227894 @default.
• W2040203019 hasRelatedWork W2626621512 @default.
• W2040203019 hasRelatedWork W2950603859 @default.
• W2040203019 hasRelatedWork W2963180196 @default.
• W2040203019 hasRelatedWork W2963929579 @default.
• W2040203019 hasRelatedWork W2977286665 @default.
• W2040203019 hasRelatedWork W3007557431 @default.
• W2040203019 hasRelatedWork W3127204431 @default.
• W2040203019 hasRelatedWork W3187225703 @default.
• W2040203019 hasRelatedWork W60906872 @default.
• W2040203019 hasVolume "78" @default.
• W2040203019 isParatext "false" @default.
• W2040203019 isRetracted "false" @default.
• W2040203019 magId "2040203019" @default.

• next