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• W3175587185 endingPage "109158" @default.
• W3175587185 startingPage "109158" @default.
• W3175587185 abstract "Given a bounded linear operator T on a separable Hilbert space, we develop an approach allowing one to construct a matrix representation for T having certain specified algebraic or asymptotic structure. We obtain matrix representations for T with preassigned bands of the main diagonals, with an upper bound for all of the matrix elements, and with entrywise rational-like lower and upper bounds for these elements. In particular, we substantially generalize and complement our results on diagonals of operators from [47] and other related results. Moreover, we obtain a vast generalization of a theorem by Stout (1981) [56], and (partially) answer his open question. Several of our results have no analogues in the literature." @default.
• W3175587185 created "2021-07-05" @default.
• W3175587185 creator A5083530338 @default.
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• W3175587185 date "2021-11-01" @default.
• W3175587185 modified "2023-09-25" @default.
• W3175587185 title "On the interplay between operators, bases, and matrices" @default.
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• W3175587185 doi "https://doi.org/10.1016/j.jfa.2021.109158" @default.
• W3175587185 hasPublicationYear "2021" @default.
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