E ISSN: 2583-049X
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International Journal of Advanced Multidisciplinary Research and Studies

Volume 2, Issue 2, 2022

Bounds of Analytic Functions of Matrices in Banach Algebras



Author(s): James Mbugua Ngigi, Benard Okelo

Abstract:

In this study we characterize bounds for analytic functions of matrices in Banach algebras. We consider both 2x2 and 3x3 matrices in Hilbert spaces and Banach algebras in general with Jordan canonical representation and upper triangular matrices.


Keywords: Analytic Functions, Banach Algebras, quantum physics

Pages: 184-192

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