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Isometries of a Space of Continuous Functions Determined by an Involution
Author(s) -
Grzesiak Maciej
Publication year - 1990
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.19901450116
Subject(s) - mathematics , involution (esoterism) , surjective function , banach space , pure mathematics , generalization , mathematical analysis , politics , political science , law
Abstract Let C ( X , σ) be the space of all σ‐conjugate continuous complex functions, where σ is an involution on X. Surjective isometries of such spaces are investigated and a generalization of the Banach‐Stone theorem is proved.