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Spectral Radius and Operator Norm of n×n Triangular Block Operator Matrices |
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PP: 7-12 |
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Author(s) |
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Elif OTKUN CEVIK,
Zameddin I. ISMAILOV,
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Abstract |
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| In this work a difference between operator norm and spectral radius for the n × n triangular block operator matrices in the direct sum of Banach spaces has been investigated. Particularly, here it has been proved that if at least one of operators outside of main diagonal is nonzero, then spectral radius definitely smaller than the operator norm. The general case of this problem has been put by Prof. M. Demuth in American Institute of Mathematics workshop in 2015 [1].
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