The Fourth International Conference on Topological Algebras and Their Applications was held in Oaxaca, Mexico. This meeting brought together international specialists and Mexican specialists in topological algebras, locally convex and Banach spaces, spectral theory, and operator theory and related topics.

This volume contains talks presented at the conference as well as articles received in response to a call for papers; some are expository and provide new insights, while others contain new research.

The book is suitable for graduate students and research mathematicians working in topological vector spaces, topological algebras, and their applications.

Readership

Graduate students and research mathematicians interested in topological spaces, topological algebras, and their applications.

Table of Contents

• M. Abel -- Description of all closed maximal regular ideals in subalgebras of the algebra \(C(X;A;\sigma)\)
• M. Abel -- Galbed Gelfand-Mazur algebras
• J. Arhippainen -- On Gelfand representation of topological algebras
• T. Chryssakis -- Relations between numerical range and spectrum-The set of strongly positive elements
• H. Fetter and B. Gamboa de Buen -- Some considerations about two properties related to measures of noncompactness in Banach spaces
• A. García -- Regular inductive limits of locally complete spaces
• R. Hadjigeorgiou -- On some more characterizations of \(Q\)-algebras
• M. Haralampidou -- Matrix representations of Ambrose algebras
• J. Kakol, S. A. Saxon, and A. R. Todd -- Docile locally convex spaces
• A. Mallios -- On localizing topological algebras
• A. Martínez Meléndez -- Topological algebras and \(\alpha\)-spectrum
• M. Oudadess -- On some nonconvex topological algebras
• F. H. Szafraniec -- Bounded vectors for subnormality via a group of unbounded operators
• Y. Tsertos -- On the \(C^*\)-structures of an algebra
• A. Velázquez González and A. Wawrzyńczyk -- Spectral mapping formula for Waelbroeck algebras and their subalgebras
• W. Żelazko -- When a commutative unital \(F\)-algebra has a dense principal ideal