Tbilisi Mathematical Journal

Essentially generalized $λ$-slant Toeplitz operators

Gopal Datt and Neelima Ohri

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Abstract

We introduce the notion of an essentially generalized $λ$-slant Toeplitz operator on the Hilbert space $L^2$ for a general complex number $λ$, via the operator equation $λM_{z}X - XM_{z^{k}} = K$, $K$ being a compact operator on $L^2$ and $k(≥ 2)$ being an integer. We attempt to investigate some of the properties of this operator and also study its counterpart on $H^2$.

Article information

Source
Tbilisi Math. J., Volume 10, Issue 4 (2017), 63-72.

Dates
Received: 11 January 2017
Accepted: 5 September 2017
First available in Project Euclid: 21 April 2018

Permanent link to this document
https://projecteuclid.org/euclid.tbilisi/1524276058

Digital Object Identifier
doi:10.1515/tmj-2017-0047

Mathematical Reviews number (MathSciNet)
MR3717110

Zentralblatt MATH identifier
06803755

Subjects
Primary: 47B35: Toeplitz operators, Hankel operators, Wiener-Hopf operators [See also 45P05, 47G10 for other integral operators; see also 32A25, 32M15]
Secondary: 47B38: Operators on function spaces (general)

Keywords
essentially Toeplitz operator slant Toeplitz operator generalized $λ$-slant Toeplitz operator

Citation

Datt, Gopal; Ohri, Neelima. Essentially generalized $λ$-slant Toeplitz operators. Tbilisi Math. J. 10 (2017), no. 4, 63--72. doi:10.1515/tmj-2017-0047. https://projecteuclid.org/euclid.tbilisi/1524276058


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