Algebras of holomorphic mappings in (DF)-spaces |
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Authors: | AL Aguiar LA Moraes |
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Institution: | a C.P. 1010, CEP 57022-970, Maceió, AL, Brazil b Instituto de Matemática, Universidade Federal do Rio de Janeiro, CP 68530, CEP 21945-970 Rio de Janeiro, RJ, Brazil |
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Abstract: | Let U be an absolutely convex open subset of a complex barrelled (DF)-space E and let F be a commutative Banach algebra with identity. Let Hb(U, F) be the space of holomorphic mappings from U into F that are bounded on the U-bounded sets and let Hb (U, F) be the space of the holomorphic mappings from U into F that are uniformly weakly continuous on the U-bounded sets, both endowed with the topology τb of uniform convergence on the U-bounded sets. The spectra of (Hwu (U, F), τb) and (Hb(U, F), τb) are studied. |
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Keywords: | 46G25 46G20 |
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