Similarity of Certain Singular Perturbations in Banach Space

S. Kantorovitz; R. J. Hughes

doi:10.1112/plms/s3-42.2.362

Similarity of Certain Singular Perturbations in Banach Space

S. Kantorovitz, R. J. Hughes

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

This paper extends and unifies similarity results previously obtained by the authors for perturbations of the form M + αC, where C = [A, M] for unbounded operators M and A acting in a Banach space. New applications to perturbations by convolution transforms, and by powers of accretive operators, are given; the Gauss-Weierstrass semigroup and perturbations of its generator are also discussed.

Original language	English
Pages (from-to)	362-384
Number of pages	23
Journal	Proceedings of the London Mathematical Society
Volume	s3-42
Issue number	2
DOIs	https://doi.org/10.1112/plms/s3-42.2.362
State	Published - Mar 1981

Bibliographical note

Funding Information:
f Research partially supported by NSF Grant MCS 78-00808. and by the National Research Council of Canada at the University of Toronto and Queen's University. X Research partially supported by NSF Grant MCS 77-03974, and a Fellowship at the Institute for Independent Study, Radcliffe College.

Funding

f Research partially supported by NSF Grant MCS 78-00808. and by the National Research Council of Canada at the University of Toronto and Queen's University. X Research partially supported by NSF Grant MCS 77-03974, and a Fellowship at the Institute for Independent Study, Radcliffe College.

Funders	Funder number
Institute for Independent Study
Radcliffe College
National Science Foundation	MCS 78-00808
National Research Council Canada
Queen's University	MCS 77-03974
University of Toronto

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note = "Funding Information: f Research partially supported by NSF Grant MCS 78-00808. and by the National Research Council of Canada at the University of Toronto and Queen's University. X Research partially supported by NSF Grant MCS 77-03974, and a Fellowship at the Institute for Independent Study, Radcliffe College.",

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N2 - This paper extends and unifies similarity results previously obtained by the authors for perturbations of the form M + αC, where C = [A, M] for unbounded operators M and A acting in a Banach space. New applications to perturbations by convolution transforms, and by powers of accretive operators, are given; the Gauss-Weierstrass semigroup and perturbations of its generator are also discussed.

AB - This paper extends and unifies similarity results previously obtained by the authors for perturbations of the form M + αC, where C = [A, M] for unbounded operators M and A acting in a Banach space. New applications to perturbations by convolution transforms, and by powers of accretive operators, are given; the Gauss-Weierstrass semigroup and perturbations of its generator are also discussed.

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Similarity of Certain Singular Perturbations in Banach Space

Abstract

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