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Similarity of Certain Singular Perturbations in Banach Space
Author(s) -
Kantorovitz S.,
Hughes R. J.
Publication year - 1981
Publication title -
proceedings of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.899
H-Index - 65
eISSN - 1460-244X
pISSN - 0024-6115
DOI - 10.1112/plms/s3-42.2.362
Subject(s) - mathematics , similarity (geometry) , semigroup , banach space , pure mathematics , convolution (computer science) , generator (circuit theory) , infinite dimensional vector function , mathematical analysis , banach manifold , lp space , computer science , power (physics) , physics , quantum mechanics , artificial intelligence , machine learning , artificial neural network , image (mathematics)
This paper extends and unifies similarity results previously obtained by the authors for perturbations of the form M + α C , 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.