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

Access to Document

10.1006/jmaa.1993.1415

Cite this

@article{b5a79f58c28541a984e1c3efa24b341a,

title = "Examples on similarity in Lp",

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.",

author = "Shmuel Kantorovitz",

year = "1993",

month = dec,

doi = "10.1006/jmaa.1993.1415",

language = "אנגלית",

volume = "180",

pages = "550--552",

journal = "Journal of Mathematical Analysis and Applications",

issn = "0022-247X",

publisher = "Academic Press Inc.",

number = "2",

}

TY - JOUR

T1 - Examples on similarity in Lp

AU - Kantorovitz, Shmuel

PY - 1993/12

Y1 - 1993/12

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=43949166289&partnerID=8YFLogxK

U2 - 10.1006/jmaa.1993.1415

DO - 10.1006/jmaa.1993.1415

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???

SN - 0022-247X

VL - 180

SP - 550

EP - 552

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 2

ER -

Examples on similarity in L^p

Abstract

Access to Document

Other files and links

Fingerprint

Cite this