Phelps spaces and finite-dimensional decompositions

R. Deville; G. Godefroy; D. E. G. Hare; V. Zizler

doi:10.1017/S0004972700026812

Phelps spaces and finite-dimensional decompositions

R. Deville
, G. Godefroy
, D. E. G. Hare
, V. Zizler

Research output: Contribution to journal › Article › peer-review

Abstract

We show that if X is a separable Banach space such that X* fails the weak* convex point-of-continuity property (C*PCP), then there is a subspace Y of X such that both Y* and (X/Y)* fail C*PCP and both Y and X/Y have finite dimensional Schauder decompositions.

Original language	English (US)
Pages (from-to)	263-271
Number of pages	9
Journal	Bulletin of the Australian Mathematical Society
Volume	37
Issue number	2
DOIs	https://doi.org/10.1017/S0004972700026812
State	Published - Apr 1988
Externally published	Yes

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http://dx.doi.org/10.1017/S0004972700026812

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title = "Phelps spaces and finite-dimensional decompositions",

abstract = "We show that if X is a separable Banach space such that X* fails the weak* convex point-of-continuity property (C*PCP), then there is a subspace Y of X such that both Y* and (X/Y)* fail C*PCP and both Y and X/Y have finite dimensional Schauder decompositions.",

author = "R. Deville and G. Godefroy and Hare, \{D. E. G.\} and V. Zizler",

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AU - Deville, R.

AU - Godefroy, G.

AU - Hare, D. E. G.

AU - Zizler, V.

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N2 - We show that if X is a separable Banach space such that X* fails the weak* convex point-of-continuity property (C*PCP), then there is a subspace Y of X such that both Y* and (X/Y)* fail C*PCP and both Y and X/Y have finite dimensional Schauder decompositions.

AB - We show that if X is a separable Banach space such that X* fails the weak* convex point-of-continuity property (C*PCP), then there is a subspace Y of X such that both Y* and (X/Y)* fail C*PCP and both Y and X/Y have finite dimensional Schauder decompositions.

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U2 - 10.1017/S0004972700026812

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EP - 271

JO - Bulletin of the Australian Mathematical Society

JF - Bulletin of the Australian Mathematical Society

IS - 2

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Phelps spaces and finite-dimensional decompositions

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