NEAR-ISOMETRIES BETWEEN $C(K)$-SPACES
NEAR-ISOMETRIES BETWEEN $C(K)$-SPACES
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Publisher
Cambridge, UK: Cambridge University Press
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Language
English
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Publisher
Cambridge, UK: Cambridge University Press
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Contents
Let $X$, $Y$ be compact Hausdorff spaces and let $T:C(X,\mathbb{R})\to C(Y,\mathbb{R})$ be an invertible linear operator. Non-standard analysis is used to give a new intuitive proof of the Amir–Cambern result that if $\|T\|\hskip1pt\|T^{-1}\|\lt2$, then there is a homeomorphism $\psi:Y\to X$. The approach provides a proof of the following represent...
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Full title
NEAR-ISOMETRIES BETWEEN $C(K)$-SPACES
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Record Identifier
TN_cdi_proquest_journals_228293289
Permalink
https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_proquest_journals_228293289
Other Identifiers
ISSN
0013-0915
E-ISSN
1464-3839
DOI
10.1017/S001309150300049X
