The Pseudo S-Spectrum and the Numerical Ranges in a Right Quaternionic Hilbert Space

Saadaoui Bilel

Abstract


We applied our work to finite-dimensional
approximations of an operator in an infinite-dimensional right
quaternionic Hilbert space, studying the convergence of various
quaternionic approximations. Our results demonstrate that the
pseudo S-spectrum of the linear operator is influenced by the
intersection of sets expressed in quaternionic numerical range terms.


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