On Continuous Involutions and Hamel Bases

• Autorzy: Karol Baron
• Języki publikacji: EN

Abstrakty

EN

We provide the form of all continuous involutions $f$ of a locally convex linear topological space $X$ such that $H \cap f(H) = \emptyset$ for any basis $H$ of the vector space $X$ over the rationals. (original abstract)

Słowa kluczowe

EN

Mathematics; Functional analysis

PL

Matematyka; Analiza funkcjonalna

• Czasopismo: Annales Mathematicae Silesianae
• Rocznik: 2011
• Tom: 25
• Strony: 45--48

Twórcy

autor

Karol Baron

• University of Silesia in Katowice, Poland

Bibliografia

• Kuczma M., An introduction to the theory of functional equations and inequalities. Cauchy's equation and Jensen's inequality, Second edition (edited by A. Gilányi), Birkhäuser Verlag, Basel, 2009.
• Rudin W., Functional analysis, McGraw-Hill Inc., New York, 1991.