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Abstract Volterra Relation

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Abstract

The abstract Volterra relation is the relation \(VD(S) \subseteq D(S), SV-VS \subseteq V^2\) , 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.

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Authors and Affiliations

  1. Department of Mathematics, University of Patras, Patras, 26500, Greece

    A. Viselter & S. Kantorovitz

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  1. A. Viselter
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  2. S. Kantorovitz
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Correspondence to A. Viselter or S. Kantorovitz.

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Viselter, A., Kantorovitz, S. Abstract Volterra Relation. Semigroup Forum 75, 359–387 (2007). https://doi.org/10.1007/s00233-006-0671-9

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  • DOI: https://doi.org/10.1007/s00233-006-0671-9

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