Abstract volterra relation

A. Viselter, S. Kantorovitz

Research output: Contribution to journalArticlepeer-review

3 Scopus citations


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 languageEnglish
Pages (from-to)359-387
Number of pages29
JournalSemigroup Forum
Issue number2
StatePublished - Oct 2007
Externally publishedYes


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


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