Examples on similarity in Lp

Shmuel Kantorovitz

doi:10.1006/jmaa.1993.1415

Examples on similarity in L^p

Shmuel Kantorovitz

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

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

Original language	English
Pages (from-to)	550-552
Number of pages	3
Journal	Journal of Mathematical Analysis and Applications
Volume	180
Issue number	2
DOIs	https://doi.org/10.1006/jmaa.1993.1415
State	Published - Dec 1993

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abstract = "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.",

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Examples on similarity in L^p

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