Commutators, ^-classification, and similarity of operators

Shmuel Kantorovitz

Research output: Contribution to journalArticlepeer-review

11 Scopus citations


We generalize the results of our recent paper, The Ck-classification of certain operators in Lp. II, to the abstract setting of a pair of operators satisfying the commutation relation [M, N] = N2.

Original languageEnglish
Pages (from-to)193-218
Number of pages26
JournalTransactions of the American Mathematical Society
StatePublished - May 1971
Externally publishedYes


  • Banach algebra
  • Boundary group
  • C-classification
  • C-operational calculus
  • Commutation relation
  • Holomorphic semigroup of operators
  • Quasi-nilpotent
  • Riemann-Liouville semigroup
  • Similarity
  • Spectral operator
  • Spectrality


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