Generalized Principal Extensions in Topological Algebras |
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Authors: | Zoi Daoultzi-Malamou |
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Affiliation: | 1. Athens, Greece
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Abstract: | The ??generalized principal extension?? of a subset of a topological algebra is, by definition, a subset of another topological algebra. Hence, the generalized spectrum of an element, ??local spectrum??, of a topological algebra is thus a subset of a topological algebra, not necessarily of ${{mathbb C}}$ . We also give a criterion for the continuity of the (generalized) Newburg map (Theorem 3.1). |
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