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RESEARCH PRODUCT

Normed Quasi *-Algebras: Bounded Elements and Spectrum

Maria FragoulopoulouCamillo Trapani

subject

Pure mathematicssymbols.namesakeBounded functionSpectrum (functional analysis)Hilbert spacesymbolsContext (language use)Element (category theory)Representation (mathematics)Mathematics

description

Bounded elements of a Banach quasi *-algebra are intended to be those, whose images under every *-representation are bounded operators in a Hilbert space. This rough idea can be developed in several ways, as we shall see in the present chapter. These notions lead us to discuss a convenient concept of spectrum of an element in this context.

https://doi.org/10.1007/978-3-030-37705-2_4