On some Operator Functional Equations in Locally Convex Algebras

Abstract:

This paper aims to prove the existence of the solutions of some operator functional equations of sinus type in universally bounded operator algebra, where the operator is defined on a locally convex space. Some results based on the work of B. Sz.-Nagy following the representation model of operator groups are established.

• Periodical: Advanced Engineering Forum (Volumes 8-9)
• Pages: 527-534
• DOI: https://doi.org/10.4028/www.scientific.net/AEF.8-9.527
• Online since: June 2013
• Authors: Flavius Pater
• Keywords: Algebra, Functional Equation, Locally Convex, Operator

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