Some Convergence Theorems for Operator Sequences
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Date
2020
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Publisher
Springer Basel Ag
Abstract
Let A, T, and B be bounded linear operators on a Banach space. This paper is concerned mainly with finding some necessary and sufficient conditions for convergence in operator norm of the sequences {A(n)TB(n)} and {1/n Sigma(n-1)(i=0) A(i)TB(i)}. These results are applied to the Toeplitz, composition, and model operators. Some related problems are also discussed.
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Keywords
Hilbert Space, Banach Space, Compact Operator, Toeplitz Operator, Composition Operator, Model Operator, Local Spectrum, Operator Sequence, Operator Average, Convergence
Turkish CoHE Thesis Center URL
WoS Q
Q3
Scopus Q
Q3
Source
Volume
92
Issue
4