On injections and surjections of continuous function spaces

D. Amir; B. Arbel

doi:10.1007/BF02787573

On injections and surjections of continuous function spaces

D. Amir^*, B. Arbel

^*Corresponding author for this work

School of Mathematical Sciences

Tel Aviv University

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

4 Scopus citations

Abstract

It is shown that a linear isometry of C(S) into C(T) is generated by a linear extension from S to a quotient space of T. A dual theorem is proved for a quotient map of C(S) onto C(T). An application of the first theorem and a modification of a theorem by Banach and Mazur provide a negative answer to a problem posed by Pelczynski.

Original language	English
Pages (from-to)	301-310
Number of pages	10
Journal	Israel Journal of Mathematics
Volume	15
Issue number	3
DOIs	https://doi.org/10.1007/BF02787573
State	Published - Sep 1973

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abstract = "It is shown that a linear isometry of C(S) into C(T) is generated by a linear extension from S to a quotient space of T. A dual theorem is proved for a quotient map of C(S) onto C(T). An application of the first theorem and a modification of a theorem by Banach and Mazur provide a negative answer to a problem posed by Pelczynski.",

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On injections and surjections of continuous function spaces

Abstract

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