Compact and weakly compact homomorphisms between algebras of continuous functions

Mikael Lindström; Jose Llavona

doi:10.1016/0022-247X(92)90299-S

Compact and weakly compact homomorphisms between algebras of continuous functions

Mikael Lindström^*, Jose Llavona

^*Corresponding author for this work

Mathematics

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

6 Citations (Scopus)

Abstract

In this note we study the relationship between compactness and weak compactness of a continuous homomorphism A from C_co(S) into C_co(T) and the associated continuous function θ{symbol}: T → S, where S and T are completely regular Hausdorff spaces.

Original language	English
Pages (from-to)	325-330
Number of pages	6
Journal	Journal of Mathematical Analysis and Applications
Volume	166
Issue number	2
DOIs	https://doi.org/10.1016/0022-247X(92)90299-S
Publication status	Published - 15 May 1992
MoE publication type	A1 Journal article-refereed

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title = "Compact and weakly compact homomorphisms between algebras of continuous functions",

abstract = "In this note we study the relationship between compactness and weak compactness of a continuous homomorphism A from Cco(S) into Cco(T) and the associated continuous function θ{symbol}: T → S, where S and T are completely regular Hausdorff spaces.",

author = "Mikael Lindstr{\"o}m and Jose Llavona",

year = "1992",

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T1 - Compact and weakly compact homomorphisms between algebras of continuous functions

AU - Lindström, Mikael

AU - Llavona, Jose

PY - 1992/5/15

Y1 - 1992/5/15

N2 - In this note we study the relationship between compactness and weak compactness of a continuous homomorphism A from Cco(S) into Cco(T) and the associated continuous function θ{symbol}: T → S, where S and T are completely regular Hausdorff spaces.

AB - In this note we study the relationship between compactness and weak compactness of a continuous homomorphism A from Cco(S) into Cco(T) and the associated continuous function θ{symbol}: T → S, where S and T are completely regular Hausdorff spaces.

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U2 - 10.1016/0022-247X(92)90299-S

DO - 10.1016/0022-247X(92)90299-S

M3 - Article

AN - SCOPUS:38249013145

SN - 0022-247X

VL - 166

SP - 325

EP - 330

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 2

ER -

Compact and weakly compact homomorphisms between algebras of continuous functions

Abstract

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