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RESEARCH PRODUCT

An overview on bounded elements in some partial algebraic structures

Giorgia Bellomonte

subject

Pure mathematicsEngineeringSpectral theorySettore MAT/05 - Analisi MatematicaAlgebraic structurebusiness.industryBounded functionStructure (category theory)Mechanical engineeringBounded elements (*-semisimple topological) partial *-algebras C*-inductive locally convex spacesAlgebraic numberElement (category theory)business

description

The notion of bounded element is fundamental in the framework of the spectral theory. Before implanting a spectral theory in some algebraic or topological structure it is needed to establish which are its bounded elements. In this paper, we want to give an overview on bounded elements of some particular algebraic and topological structures, summarizing our most recent results on this matter.

https://doi.org/10.1007/978-3-319-18041-0_24