On operators close to isometries
Studia Mathematica, Tome 186 (2008) no. 3, pp. 275-293

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We introduce and discuss a class of operators, to be referred to as operators close to isometries. The Bergman-type operators, 2-hyperexpansions, expansive $p$-isometries, and certain alternating hyperexpansions are main examples of such operators. We establish a few decomposition theorems for operators close to isometries. Applications are given to the theory of $p$-isometries and of hyperexpansive operators.
DOI : 10.4064/sm186-3-6
Keywords: introduce discuss class operators referred operators close isometries bergman type operators hyperexpansions expansive p isometries certain alternating hyperexpansions main examples operators establish few decomposition theorems operators close isometries applications given theory p isometries hyperexpansive operators

Sameer Chavan 1

1 Indian Institute of Science, Education & Research, Pune Pune 411008, India
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Sameer Chavan. On operators close to isometries. Studia Mathematica, Tome 186 (2008) no. 3, pp. 275-293. doi: 10.4064/sm186-3-6

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