Hostname: page-component-cd9895bd7-gbm5v Total loading time: 0 Render date: 2024-12-24T16:21:21.469Z Has data issue: false hasContentIssue false
  • English
  • Français

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: [email protected]
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

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.