Article
Spectral Radius and Operator Norm of n × n Triangular Block Operator Matrices
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Abstract
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].
Keywords
Block operator matrix, operator norm, spectrum, spectral radius.
Citation
Otkun Çevik, E. & Ismailov, Z. I. (2021). Spectral radius and operator norm of n × n triangular block operator matrices. Journal of Analysis & Number Theory, 9(1), 7–12. https://doi.org/10.18576/jant/090102
E. Otkun Çevik and Z. I. Ismailov, “Spectral radius and operator norm of n × n triangular block operator matrices,” Journal of Analysis & Number Theory, vol. 9, no. 1, pp. 7–12, 2021, doi: 10.18576/jant/090102.
Otkun Çevik E, Ismailov ZI. Spectral radius and operator norm of n × n triangular block operator matrices. Journal of Analysis & Number Theory. 2021;9(1):7–12. doi:10.18576/jant/090102.
Otkun Çevik, E. and Ismailov, Z. I. (2021), ‘Spectral radius and operator norm of n × n triangular block operator matrices’, Journal of Analysis & Number Theory, 9(1), pp. 7–12. Available at: https://doi.org/10.18576/jant/090102.
Otkun Çevik, Elif, and Zameddin I. Ismailov. “Spectral Radius and Operator Norm of N × N Triangular Block Operator Matrices.” Journal of Analysis & Number Theory, vol. 9, no. 1, 2021, pp. 7–12. https://doi.org/10.18576/jant/090102.
Otkun Çevik, Elif, and Zameddin I. Ismailov. “Spectral Radius and Operator Norm of N × N Triangular Block Operator Matrices.” Journal of Analysis & Number Theory 9, no. 1 (2021): 7–12. https://doi.org/10.18576/jant/090102.
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Published by: Engineering Journals
