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HYPEREXPANSIVE OPERATOR VALUED UNILATERAL WEIGHTED SHIFTS

Published online by Cambridge University Press:  19 May 2004

ZENON JAN JABŁOŃSKI
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.

Keywords

Primary 47A3047A20;Secondary 47A5747B20
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 46 , Issue 2 , May 2004 , pp. 405 - 416
Copyright
2004 Glasgow Mathematical Journal Trust

Footnotes

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