Abstract volterra relation

A. Viselter; S. Kantorovitz

doi:10.1007/s00233-006-0671-9

Abstract volterra relation

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Abstract

The abstract Volterra relation is the relation VD(S) ⊆ D(S), SV-VS ⊆ V² , satisfied by a closed operator S and a bounded operator V over some complex Banach space X. Results of several articles of the second author are extended from the case of S bounded to the general case. These include results on similarity, quasi-affinity, Cⁿ-classification, and growth of related semigroups.

Original language	English
Pages (from-to)	359-387
Number of pages	29
Journal	Semigroup Forum
Volume	75
Issue number	2
DOIs	https://doi.org/10.1007/s00233-006-0671-9
State	Published - Oct 2007
Externally published	Yes

Keywords

Boundary group
Holomorphic semigroups
Quasi affinity
Semigroups of operators
Similarity
Volterra commutation relation
fractional powers of operators

ASJC Scopus subject areas

Algebra and Number Theory

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10.1007/s00233-006-0671-9

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KW - Boundary group

KW - Holomorphic semigroups

KW - Quasi affinity

KW - Semigroups of operators

KW - Similarity

KW - Volterra commutation relation

KW - fractional powers of operators

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ER -

Abstract volterra relation

Abstract

Keywords

ASJC Scopus subject areas

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