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On the decomposition of families of quasinormal operators

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DOI: https://doi.org/10.7494/OpMath.2013.33.3.419 

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OpMath.2013.33.3.419.pdf (521.59 KB)

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2013

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Rights: CC BY 4.0
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Attribution 4.0 International (CC BY 4.0)

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artykuł

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Item type:Journal Issue,
Opuscula Mathematica
2013 - Vol. 33 - No. 3

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pp. 419-438

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Keywords

multiple canonical decomposition, quasinormal operators, partial isometry

Abstract

The canonical injective decomposition of a jointly quasinormal family of operators is given. Relations between the decomposition of a quasinormal operator T and the decomposition of a partial isometry in the polar decomposition of T are described. The decomposition of pairs of commuting quasinormal partial isometries and its applications to pairs of commuting quasinormal operators is shown. Examples are given.

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Access: otwarty dostęp
Rights: CC BY 4.0
Attribution 4.0 International

Attribution 4.0 International (CC BY 4.0)

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https://repo.agh.edu.pl/handle/AGH/50277

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