Operator matrices on the Bergman space
Filomat, Tome 36 (2022) no. 10, p. 3311
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In this article, we characterize the sufficient and necessary conditions for positiveness of operator matrices with Toeplitz and little Hankel operators on the Bergman space. Further, we explore some conditions for operator matrices to be normal and unitary.
Classification :
47B38, 47B33, 47B35
Keywords: Positive operators, Normal operators, Unitary operators, Toeplitz operators, little Hankel operators, Bergman spaces
Keywords: Positive operators, Normal operators, Unitary operators, Toeplitz operators, little Hankel operators, Bergman spaces
Chinmayee Padhy; Pabitra Kumar Jena; S K Paikray. Operator matrices on the Bergman space. Filomat, Tome 36 (2022) no. 10, p. 3311 . doi: 10.2298/FIL2210311P
@article{10_2298_FIL2210311P,
author = {Chinmayee Padhy and Pabitra Kumar Jena and S K Paikray},
title = {Operator matrices on the {Bergman} space},
journal = {Filomat},
pages = {3311 },
year = {2022},
volume = {36},
number = {10},
doi = {10.2298/FIL2210311P},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2210311P/}
}
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