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Spectra of Generalized Cesàro Operators Acting on Growth Spaces

Malman, Bartosz LU (2018) In Integral Equations and Operator Theory 90(3).
Abstract

We study the spectrum of generalized Cesàro operators Tg acting on the class of growth spaces A- α. We show how the problem of determining the spectrum is related to boundedness of standard weighted Bergman projections on weighted L-spaces. Using this relation we establish some general spectral properties of these operators, and explicitly compute the spectrum for a large class of symbols g.

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author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Generalized Cesàro operators, Volterra-type integral operators, Weighted Bergman projections, Weighted L-infinity spaces
in
Integral Equations and Operator Theory
volume
90
issue
3
publisher
Springer
external identifiers
  • scopus:85046289914
ISSN
0378-620X
DOI
10.1007/s00020-018-2448-4
language
English
LU publication?
yes
id
8aaa6032-9672-4ded-a027-47178e77881c
date added to LUP
2018-05-15 10:08:29
date last changed
2018-05-29 10:46:54
@article{8aaa6032-9672-4ded-a027-47178e77881c,
  abstract     = {<p>We study the spectrum of generalized Cesàro operators T<sub>g</sub> acting on the class of growth spaces A<sup>-</sup>         <sup>α</sup>. We show how the problem of determining the spectrum is related to boundedness of standard weighted Bergman projections on weighted L<sup>∞</sup>-spaces. Using this relation we establish some general spectral properties of these operators, and explicitly compute the spectrum for a large class of symbols g.</p>},
  articleno    = {26},
  author       = {Malman, Bartosz},
  issn         = {0378-620X},
  keyword      = {Generalized Cesàro operators,Volterra-type integral operators,Weighted Bergman projections,Weighted L-infinity spaces},
  language     = {eng},
  month        = {06},
  number       = {3},
  publisher    = {Springer},
  series       = {Integral Equations and Operator Theory},
  title        = {Spectra of Generalized Cesàro Operators Acting on Growth Spaces},
  url          = {http://dx.doi.org/10.1007/s00020-018-2448-4},
  volume       = {90},
  year         = {2018},
}