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Homogeneous quasi-invariant subspaces of the fock space

Part of: General theory of linear operators Topological algebras, normed rings and algebras, Banach algebras Commutative Banach algebras and commutative topological algebras

Published online by Cambridge University Press:  09 April 2009

Kunyu Guo
Kunyu Guo
Affiliation:
Department of Mathematics, Fudan University, Shanghai 200433 P.R., China, e-mail: [email protected]
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Abstract

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In this paper, we prove that two homogeneous quasi-invariant subspaces are similar only if they are equal. Moreover, we exhibit an example to show how to determine the similarity orbits of quasi-invariant subspaces.

Keywords

the Fock spacequasi-invariant subspacesimilarity orbitquasi-module map

MSC classification

Secondary: 46J15: Banach algebras of differentiable or analytic functions, $H^p$-spaces 46H25: Normed modules and Banach modules, topological modules (if not placed in or ) 47A15: Invariant subspaces
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 75 , Issue 3 , December 2003 , pp. 399 - 408
Copyright
Copyright © Australian Mathematical Society 2003

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