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SumTopo 2001, Sixteenth Summer Conference on Topology and its Applications
July 18-21, 2001
City College of CUNY
New York, NY, USA

Organizers
Ralph Kopperman (City College, CUNY), Susan Andima (CW Post College, LIU), Gerald Itzkowitz (Queens College, CUNY), Prabudh Misra (College of Staten Island, CUNY), Shelly Rothman (CW Post College, LIU), Aaron Todd (Baruch College, CUNY)

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Topologies on some algebras of continuous functions
by
Javier Gómez-Pérez
Dpto. Matemáticas, Universidad de León, Spain

Let C(X) be the algebra of all real-valued continuous functions on a completely regular space X, and the subalgebra C*(X) of bounded functions. Any intermediate algebra A between C*(X) and C(X) is endowed with the mA-topology \taumA, defined in a similar way to the m-topology \taum on C(X). The relative topology that A inherits as a subspace of (C(X), \taum) is finer than the mA-topology and, although (A, \taumA) is generally a topological ring, it is not always a topological algebra. The topological properties of (A, \taumA) are studied, and the intermediate algebras that are normed topological rings are characterized.

Date received: April 27, 2001

Copyright © 2001 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cagw-14.