Normpreserving extensions in subspaces of c(x)

Eggert Briem; Murali Rao

doi:10.2140/pjm.1972.42.581

Normpreserving extensions in subspaces of c(x)

Eggert Briem, Murali Rao

Faculty of Physical Sciences

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

Abstract

If B is a subspace of C(X) and F is a closed subset of X, this note gives sufficient conditions in order that every function in the restriction subspace B_F has an extension in B with no increase in norm.

Original language	English
Pages (from-to)	581-597
Number of pages	17
Journal	Pacific Journal of Mathematics
Volume	42
Issue number	3
DOIs	https://doi.org/10.2140/pjm.1972.42.581
Publication status	Published - Sept 1972

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abstract = "If B is a subspace of C(X) and F is a closed subset of X, this note gives sufficient conditions in order that every function in the restriction subspace BF has an extension in B with no increase in norm.",

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Normpreserving extensions in subspaces of c(x)

Abstract

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