Some classes of weighted conditional type operators and their spectra

Some classes of weighted conditional type operators and their spectra In this paper, some $$*$$ ∗ -classes of weighted conditional expectation type operators, such as $$A$$ A -class, $$*$$ ∗ - $$A$$ A -class and quasi- $$*$$ ∗ - $$A$$ A classes on $$L^{2}(\Sigma )$$ L 2 ( Σ ) are investigated. Also, the spectrum, point spectrum and spectral radius of these operators are computed. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Positivity Springer Journals

Some classes of weighted conditional type operators and their spectra

Positivity , Volume 19 (1) – Apr 12, 2014
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Publisher
Springer Basel
Copyright
Copyright © 2014 by Springer Basel
Subject
Mathematics; Fourier Analysis; Operator Theory; Potential Theory; Calculus of Variations and Optimal Control; Optimization; Econometrics
ISSN
1385-1292
eISSN
1572-9281
D.O.I.
10.1007/s11117-014-0284-6
Publisher site
See Article on Publisher Site

Abstract

In this paper, some $$*$$ ∗ -classes of weighted conditional expectation type operators, such as $$A$$ A -class, $$*$$ ∗ - $$A$$ A -class and quasi- $$*$$ ∗ - $$A$$ A classes on $$L^{2}(\Sigma )$$ L 2 ( Σ ) are investigated. Also, the spectrum, point spectrum and spectral radius of these operators are computed.

Journal

PositivitySpringer Journals

Published: Apr 12, 2014

References

  • Weighted lambert type operators on $$L^{p}$$ L p -spaces
    Estaremi, Y; Jabbarzadeh, MR

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