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Algebras with unconditional orthogonal bases. (English) Zbl 0434.46029


MSC:

46H10 Ideals and subalgebras
46H15 Representations of topological algebras
46H20 Structure, classification of topological algebras
46A35 Summability and bases in topological vector spaces
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References:

[1] Mahlon M. Day, Normed linear spaces, Academic Press, Inc., Publishers, New York; Springer-Verlag, Berlin-Göttingen-Heidelberg;, 1962. · Zbl 0100.10802
[2] Leonard Gillman and Meyer Jerison, Rings of continuous functions, The University Series in Higher Mathematics, D. Van Nostrand Co., Inc., Princeton, N.J.-Toronto-London-New York, 1960. · Zbl 0093.30001
[3] T. Husain and S. Watson, Topological algebras with orthogonal bases, Pacific J. Math. (submitted). · Zbl 0477.46042
[4] Ernest A. Michael, Locally multiplicatively-convex topological algebras, Mem. Amer. Math. Soc., No. 11 (1952), 79. · Zbl 0047.35502
[5] Ivan Singer, Bases in Banach spaces. I, Springer-Verlag, New York-Berlin, 1970. Die Grundlehren der mathematischen Wissenschaften, Band 154. · Zbl 0198.16601
[6] Wiesław Żelazko, Banach algebras, Elsevier Publishing Co., Amsterdam-London-New York; PWN – Polish Scientific Publishers, Warsaw, 1973. Translated from the Polish by Marcin E. Kuczma. · Zbl 1275.46037
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