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Operators with Brownian unitary dilations
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Operators with Brownian unitary dilations
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Operators with Brownian unitary dilations
Operators with Brownian unitary dilations
Journal Article

Operators with Brownian unitary dilations

2022
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Overview
Certain bounded linear operators T on a complex Hilbert space 𝒦 ⊃ 𝓗 which have 2-isometric liftings S on another space K 𝓗 are being investigated. We refer also to a more special type of liftings, as well as to those which additionally meet the condition S* S𝓗 ⊂ 𝓗. Furthermore we describe other types of dilations for T, which are close to 2-isometries. Among these we refer to expansive (concave) operators and also to Brownian unitary dilations. Different matrix representations for such operators are obtained, where matrix entries involve contractive operators.