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HYPEREXPANSIVE OPERATOR VALUED UNILATERAL WEIGHTED SHIFTS

Published online by Cambridge University Press:  19 May 2004

ZENON JAN JABŁOŃSKI
Affiliation:
Instytut Matematyki, Uniwersytet Jagielloński, ul. Reymonta 4, PL-30059 Kraków e-mail: jablonsk@im.uj.edu.pl
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Abstract

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The notion of a completely hyperexpansive operator has been introduced in [1] by Athavale. In this paper hyperexpansive operator valued unilateral weighted shifts are investigated. A unique semispectral measure is associated with a bounded completely hyperexpansive operator valued unilateral weighted shift with invertible weights. Examples of bounded and unbounded hyperexpansive operator valued unilateral weighted shifts with invariant domains are given.

Type
Research Article
Copyright
2004 Glasgow Mathematical Journal Trust

Footnotes

This work was supported by the KBN grant 2 P03A 037 024.