When is a sum of partial reflections equal to a scalar operator?

DOI10.1023/B:FAIA.0000034047.27498.51zbMath1069.47021OpenAlexW1996898531MaRDI QIDQ2486704

Anton Mellit, Viacheslav I. Rabanovich, Yurii S. Samoilenko

Publication date: 5 August 2005

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/b:faia.0000034047.27498.51

zbMATH Keywords

reflectionprojectionself-adjoint operator\(\ast\)-representationpartial reflection

Mathematics Subject Classification ID

Representations of topological algebras with involution (46K10) Spectrum, resolvent (47A10) Linear symmetric and selfadjoint operators (unbounded) (47B25)

Related Items (5)

On decompositions of a scalar operator into a sum of self-adjoint operators with finite spectrum ⋮ Representations of algebras defined by a multiplicative relation and corresponding to the extended Dynkin graphs \(\tilde D_4\), \(\tilde E_6\), \(\tilde E_7\), and \(\tilde E_8\) ⋮ On functions on graphs and representations of a certain class of *-algebras. ⋮ Scalar operators equal to the product of unitary roots of the identity operator ⋮ Representation of tripotents and representations via tripotents

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