Examples on similarity in Lp

Shmuel Kantorovitz

Research output: Contribution to journalArticlepeer-review


Let Q be a polynomial with real coefficients on R such that convolution by exp(iQ) defines a bounded operator H on Lp for some p (1 < p < ∞). Then the perturbations M + cH are similar to M on Lp, where M is the multiplication by x operator with maximal domain.

Original languageEnglish
Pages (from-to)550-552
Number of pages3
JournalJournal of Mathematical Analysis and Applications
Issue number2
StatePublished - Dec 1993


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