Paranormal weighted conditional type operators

Preprint English OPEN
Estaremi, Yousef (2014)
  • Subject: Mathematics - Functional Analysis
    arxiv: Mathematics::Functional Analysis

In this paper, some sub-classes of paranormal weighted conditional expectation type operators, such as *-paranormal, quasi-*-paranormal and (n; k)-quasi-*-paranormal weighted conditional expectation type opera- tors on $L^2(\Sigma)$ are investigated. Also, some applications about the spectrum, point spectrum, joint point spectrum, approximate point spectrum and joint approximate point spectrum of these classes are presented.
  • References (22)
    22 references, page 1 of 3

    [1] B. De Pagter, f - algebras and orthomorphisms, thesis, Leiden University, 1981.

    [2] R. G. Douglas, Contractive projections on an L1 space, Pacific J. Math. 15 (1965), 443-462.

    [3] P.G. Dodds, C.B. Huijsmans and B. De Pagter, characterizations of conditional expectationtype operators, Pacific J. Math. 141(1) (1990), 55-77.

    [4] Y. Estaremi, Essential norm of weighted conditional type operators on Lp-spaces, positivity. 18 (2014), 41-52.

    [5] Y. Estaremi, On a class of operators with normal Aluthge transformations, to appear in Filomat.

    [6] Y. Estaremi, Some Classes of weighted conditional type operators and their spectra, to appear in positivity.

    [7] Y. Estaremi, Multiplication conditional expectation type operators on Orlicz spaces, J. Math. Anal. Appl. 414 (2014) 8898.

    [8] Y. Estaremi and M.R. Jabbarzadeh, Compact weighted Lambert type operators on Lp-spaces, J. Math. Anal. Appl. 420 (2014)118-123.

    [9] Y. Estaremi and M.R. Jabbarzadeh, Weighted lambert type operators on Lp-spaces, Oper. Matrices 1 (2013), 101-116.

    [10] Y. Estaremi and M.R. Jabbarzadeh, Weighted composition lambert type operators on Lpspaces, to appear in Mediterranean Journal of Mathematics.

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