Hyperexpansive composition operators

ZENON J. JABŁOŃSKI

doi:10.1017/S0305004103006844

Abstract

The notion of a completely hyperexpansive operator has been introduced in [2] by Athavale. In this paper bounded and unbounded hyperexpansive composition operators are investigated. A unique semispectral measure is associated with a bounded completely hyperexpansive composition operator. Examples of bounded and unbounded densely defined $2$-isometric (completely hyperexpansive, $2$-hyperexpansive) composition operators with invariant domains are given.

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Hyperexpansive composition operators

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