Decomposition of kth Order Slant Toeplitz Operators-Reference-Cited by-同舟云学术

Decomposition of kth Order Slant Toeplitz Operators

Published:2023-12-14 Issue:4 Volume:17 Page:755-768
ISSN:1823-8343
Container-title:Malaysian Journal of Mathematical Sciences
language:en
Short-container-title:MJMS

Author:

Singh K. P.¹,Singh, M. P.²,Sanasam, A. J.³

Affiliation:

1. Department of Mathematics, Manipur University, Canchipur 795003, Manipur, India

2. 1Department of Mathematics, Manipur University, Canchipur 795003, Manipur, India

3. Department of Mathematics, Manipur Technical University, Takyelpat 795004, Manipur, India

Abstract

In this paper, we establish the block matrix decomposition of kth order slant Toeplitz operators. We also establish some relations between the compressions of kth order slant Toeplitz and kth order slant Hankel operators on H2. In the last section, we introduce the notion of kth order slant Toeplitz graphs.

Publisher

Universiti Putra Malaysia

Subject

General Mathematics

Reference15 articles.

1. S. C. Arora & R. Batra (2005). Generalized slant Toeplitz operators on H2. Mathematische Nachrichten, 278(4), 347–355. https://doi.org/10.1002/mana.200310244.

2. S. C. Arora, R. Batra & M. P. Singh (2006). Slant Hankel operators. Archivum Mathematicum, 42(2), 125–133. http://eudml.org/doc/249783.

3. S. C. Arora & J. Bhola (2008). The compression of a kth-order slant Hankel operator. Ganita (India), 59(1), 1–11.

4. A. Brown & P. R. Halmos (1964). Algebraic properties of Toeplitz operators. Journal Für die Reine und Angewandte Mathematik, 213, 89–102. http://eudml.org/doc/150589.

5. C. Chu (2015). Compact product of Hankel and Toeplitz operators on the Hardy space. Indiana University Mathematics Journal, 64(4), 973–982. https://www.jstor.org/stable/26315481.

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