Portugaliæ Mathematica   EMIS ELibM Electronic Journals PORTUGALIAE
MATHEMATICA
Vol. 54, No. 1, pp. 115-126 (1997)

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Boundaries in Inductive Limit Topological Algebras

Rodia I. Hadjigeorgiou

Demosthenous, 158,
GR-17673 Athens - GREECE

Abstract: We study several kinds of boundaries of an inductive limit topological algebra in terms of those of the factor algebras.

Keywords: Inductive limit topological algebra; projective systems of topological spaces, (weak) boundary set, Silov boundary; Bishop boundary; Urysohn algebra; Choquet boundary; semi-simple algebra; Dirac measure; spectral algebra.

Classification (MSC2000): 46H05, 46J20, 46M40, 46A13

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