HYPEREXPANSIVE OPERATOR VALUED UNILATERAL WEIGHTED SHIFTSThis work was supported by the KBN grant 2 P03A 037 024.
JABŁOŃSKI, ZENON JAN; JABŁOŃSKI ZENON JAN; Uniwersytet Jagielloński
Журнал:
Glasgow Mathematical Journal
Дата:
2004
Аннотация:
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.
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