STRONGLY BOUNDED REPRESENTING MEASURES AND CONVERGENCE THEOREMS

Let K be a compact Hausdorff space, X a Banach space and C(K, X) the Banach space of all continuous functions f: K → X endowed with the supremum norm. In this paper we study weakly precompact operators defined on C(K, X).

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Bibliographic Details
Published in:Glasgow mathematical journal Vol. 52; no. 3; pp. 435 - 445
Main Authors: GHENCIU, IOANA, LEWIS, PAUL
Format: Journal Article
Language:English
Published: Cambridge, UK Cambridge University Press 01.09.2010
Subjects:
46 G10
Banach space
Convergence
Geometry
Mathematical analysis
Mathematics
Norms
Operators
Primary 46 E40
Secondary 46B20
Theorems
Secondary 46B20
46 G10
Primary 46 E40
ISSN:0017-0895, 1469-509X
Online Access:Get full text
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Summary:Let K be a compact Hausdorff space, X a Banach space and C(K, X) the Banach space of all continuous functions f: K → X endowed with the supremum norm. In this paper we study weakly precompact operators defined on C(K, X).
Bibliography:ark:/67375/6GQ-NFT5QVPG-6
ArticleID:00013
istex:339C0D7ED298027BAB3027AEF1A7ED4BCAD13AEE
PII:S0017089510000133
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 14
ObjectType-Article-2
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ISSN:0017-0895
1469-509X
DOI:10.1017/S0017089510000133