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http://dx.doi.org/10.4134/CKMS.c180447

kth-ORDER ESSENTIALLY SLANT WEIGHTED TOEPLITZ OPERATORS  

Gupta, Anuradha (Department of Mathematics Delhi college of Arts and Commerce University of Delhi)
Singh, Shivam Kumar (Department of Mathematics University of Delhi)
Publication Information
Communications of the Korean Mathematical Society / v.34, no.4, 2019 , pp. 1229-1243 More about this Journal
Abstract
The notion of $k^{th}$-order essentially slant weighted Toeplitz operator on the weighted Lebesgue space $L^2({\beta})$ is introduced and its algebraic properties are investigated. In addition, the compression of $k^{th}$-order essentially slant weighted Toeplitz operators on the weighted Hardy space $H^2({\beta})$ is also studied.
Keywords
weighted Toeplitz operators; $k^{th}$-order slant Toeplitz operators; $k^{th}$-order essentially slant weighted Toeplitz operators; Fredholm operators;
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1 P. Aiena, Semi-Fredholm operators, perturbation theory and localized SVEP, XX Escuela Venezolana de Mathematicas, Ed. Ivic, Merida (Venezuela), 2007.
2 S. C. Arora and J. Bhola, Essentially slant Toeplitz operators, Banach J. Math. Anal. 3 (2009), no. 2, 1-8. https://doi.org/10.15352/bjma/1261086703   DOI
3 S. C. Arora and R. Kathuria, Slant weighted Toeplitz operator, Int. J. Pure Appl. Math. 62 (2010), no. 4, 433-442.
4 S. C. Arora and R. Kathuria, The compression of a slant weighted Toeplitz operator, J. Adv. Res. Pure Math. 4 (2012), no. 4, 48-56.   DOI
5 J. Barra and P. R. Halmos, Asymptotic Toeplitz operators, Trans. Amer. Math. Soc. 273 (1982), no. 2, 621-630. https://doi.org/10.2307/1999932   DOI
6 G. Datt and N. Ohri, Essentially generalized $\lambda$-slant Toeplitz operators, Tbilisi Math. J. 10 (2017), no. 4, 63-72. https://doi.org/10.1515/tmj-2017-0047   DOI
7 G. Datt and D. K. Porwal, On a generalization of weighted slant Hankel operators, Math. Slovaca 66 (2016), no. 5, 1193-1206. https://doi.org/10.1515/ms-2016-0215   DOI
8 R. G. Douglas, Banach Algebra Techniques in Operator Theory, Academic Press, New York, 1972.
9 A. Gupta and S. K. Singh, Slant H-Toeplitz operators on the Hardy space, J. Korean Math. Soc. 56 (2019), no. 3, 703-721. https://doi.org/10.4134/JKMS.j180324   DOI
10 M. C. Ho, Properties of slant Toeplitz operators, Indiana Univ. Math. J. 45 (1996), no. 3, 843-862. https://doi.org/10.1512/iumj.1996.45.1973   DOI
11 M. C. Ho, Spectra of slant Toeplitz operators with continuous symbols, Michigan Math. J. 44 (1997), no. 1, 157-166. https://doi.org/10.1307/mmj/1029005627   DOI
12 R. L. Kelley, Weighted shifts on Hilbert space, ProQuest LLC, Ann Arbor, MI, 1966.
13 V. Lauric, On a weighted Toeplitz operator and its commutant, Int. J. Math. Math. Sci. 2005 (2005), no. 6, 823-835. https://doi.org/10.1155/IJMMS.2005.823   DOI
14 A. L. Shields, Weighted shift operators and analytic function theory, Topics in operator theory, 49-128. Math. Surveys, 13, Amer. Math. Soc., Providence, RI, 1974.
15 S. C. Arora and R. Kathuria, On weighted Toeplitz operators, Aust. J. Math. Anal. Appl. 8 (2011), no. 1, Art. 11, 10 pp.