Separable L‐embedded Banach spaces are unique preduals | Zendy

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Separable L‐embedded Banach spaces are unique preduals

Author(s) -

Pfitzner Hermann

Publication year - 2007

Publication title -

bulletin of the london mathematical society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 2.396

H-Index - 48

eISSN - 1469-2120

pISSN - 0024-6093

DOI - 10.1112/blms/bdm077

Subject(s) - mathematics , separable space , banach space , linear subspace , uniqueness , norm (philosophy) , lp space , pure mathematics , eberlein–šmulian theorem , interpolation space , banach manifold , discrete mathematics , functional analysis , mathematical analysis , biochemistry , chemistry , political science , law , gene

In this note the following is proved. Separable L‐embedded spaces – that is separable Banach spaces which are complemented in their biduals and such that the norm between the two complementary subspaces is additive – have property ( X ) which, by a result of Godefroy and Talagrand, entails uniqueness of the space as a predual.

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