On generalized spectra in C*-algebras of operators over C*-algebras
Stefan Ivkovic

TL;DR
This paper explores generalized spectra of various classes of operators on modules over unital C*-algebras, providing descriptions and properties of these spectra.
Contribution
It introduces and analyzes new types of generalized spectra for operators on modules over C*-algebras, expanding spectral theory in this context.
Findings
Descriptions of generalized spectra for shift, self-adjoint, unitary, and normal operators.
Properties and characterizations of these spectra within the algebraic framework.
Insights into how these spectra relate to classical spectral concepts.
Abstract
In this paper we consider shift operators, self-adjoint, unitary and normal operators on the standard module over a unital C*-algebra A. We define various generalized spectra in A of these operators, give description of such spectra of these operators and investigate their further properties.
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Taxonomy
TopicsAdvanced Topics in Algebra · Advanced Operator Algebra Research · Mathematical Analysis and Transform Methods
