Numerical range  of inner product type integral transformers on Hilbert spaces

Priscah Moraa; David Ambogo; Fredrick Nyamwala

doi:10.56947/amcs.v19.212

Authors

Priscah Moraa Department of Mathematics, Physics and Computing, Moi University, Kenya
David Ambogo Department of Pure and Applied mathematics, Maseno University, Kenya
Fredrick Nyamwala Department of Mathematics, Physics and Computing, Moi University, Kenya

DOI:

https://doi.org/10.56947/amcs.v19.212

Keywords:

Inner Product Type Integral Operator, numerical range, norm, Gel'fand Integral, Spectrum

Abstract

In this paper we compute the algebraic numerical range for inner product type integral transformers and show that the basic properties of the algeraic numerical range holds for this operator.

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Numerical range of inner product type integral transformers on Hilbert spaces

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