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Isometries between Non–Archimedean Spaces of Continuous Functions a
Author(s) -
ARAUJO JESÚS,
MARTINEZMAURICA J.
Publication year - 1992
Publication title -
annals of the new york academy of sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.712
H-Index - 248
eISSN - 1749-6632
pISSN - 0077-8923
DOI - 10.1111/j.1749-6632.1992.tb32242.x
Subject(s) - banach space , mathematics , pure mathematics
Some characterizations of the conjugate of a Banach–Stone map T : C(X) → C(Y) between the non–Archimedean spaces of continuous functions C(X) and C(Y) are studied. The main result that T′ : C(Y)′→ C(X)′ is a Banach–Stone map if and only if T is a Banach–Stone map is proved.