On operators close to isometries

Sameer Chavan

Studia Mathematica (2008)

  • Volume: 186, Issue: 3, page 275-293
  • ISSN: 0039-3223

Abstract

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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.

How to cite

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Sameer Chavan. "On operators close to isometries." Studia Mathematica 186.3 (2008): 275-293. <http://eudml.org/doc/285164>.

@article{SameerChavan2008,
abstract = {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.},
author = {Sameer Chavan},
journal = {Studia Mathematica},
keywords = {hyponormal operator; hyperexpansive operator; hypercyclic operator; p-isometric operator; wandering subspace},
language = {eng},
number = {3},
pages = {275-293},
title = {On operators close to isometries},
url = {http://eudml.org/doc/285164},
volume = {186},
year = {2008},
}

TY - JOUR
AU - Sameer Chavan
TI - On operators close to isometries
JO - Studia Mathematica
PY - 2008
VL - 186
IS - 3
SP - 275
EP - 293
AB - 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.
LA - eng
KW - hyponormal operator; hyperexpansive operator; hypercyclic operator; p-isometric operator; wandering subspace
UR - http://eudml.org/doc/285164
ER -

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