Quasi-affinity in certain classes of operators

Shmuel Kantorovitz; Rhonda J. Hughes

doi:10.1112/blms/19.5.449

Quasi-affinity in certain classes of operators

Shmuel Kantorovitz, Rhonda J. Hughes

Department of Mathematics

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4 Scopus citations

Abstract

The family of operators, where V is an injective S-Volterra operator (that is, [S, V] = V²) and –A ≡ –V⁻¹ generates a uniformly bounded C₀-semigroup, is studied in the context of similarity and of the weaker quasi-affinity relation. It is shown that S is similar to for all 1, and is a quasi-affine transform of S + tV^α for all t ≥ 0 and 0 < α < 1.

Original language	English
Pages (from-to)	449-457
Number of pages	9
Journal	Bulletin of the London Mathematical Society
Volume	19
Issue number	5
DOIs	https://doi.org/10.1112/blms/19.5.449
State	Published - Sep 1987

Bibliographical note

Funding Information:
Second author's research partially supported by the Madge Miller Research College, and by a grant from the National Science Foundation.

Funding

Second author's research partially supported by the Madge Miller Research College, and by a grant from the National Science Foundation.

Funders	Funder number
National Science Foundation

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10.1112/blms/19.5.449

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abstract = "The family of operators, where V is an injective S-Volterra operator (that is, [S, V] = V2) and –A ≡ –V−1 generates a uniformly bounded C0-semigroup, is studied in the context of similarity and of the weaker quasi-affinity relation. It is shown that S is similar to for all 1, and is a quasi-affine transform of S + tVα for all t ≥ 0 and 0 < α < 1.",

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PY - 1987/9

Y1 - 1987/9

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Quasi-affinity in certain classes of operators

Abstract

Bibliographical note

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