Topological algebras and applications : Fifth International Conference on Topological Algebras and Applications, June 27-July 1, 2005, Athens, Greece

書誌事項

Topological algebras and applications : Fifth International Conference on Topological Algebras and Applications, June 27-July 1, 2005, Athens, Greece

Anastasios Mallios, Marina Haralampidou, editors

(Contemporary mathematics, 427)

American Mathematical Society, c2007

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注記

Includes bibliographical references

内容説明・目次

内容説明

The Fifth International Conference on Topological Algebras and Applications was held in Athens, Greece, from June 27th to July 1st of 2005. The main topic of the Conference was general theory of topological algebras and its various applications, with emphasis on the ""non-normed"" case. In addition to the study of the internal structure of non-normed, and even non-locally convex topological algebras, there are applications to other branches of mathematics, such as differential geometry of smooth manifolds, and mathematical physics, such as quantum relativity and quantum cosmology. Operator theory of unbounded operators and related non-normed topological algebras are intensively studied here. Other topics presented in this volume are topological homological algebra, topological algebraic geometry, sheaf theory and $K$-theory.

目次

Topologisation et multiplication dans certaines algebres by Z. Abdelali and M. Chidami On Serre-Swan-Mallios theorem by M. Abel Topological algebras with idempotently pseudoconvex von Neumann bornology by M. Abel Hyers-Ulam-Rassias stability of derivations on Hilbert $C^*$-Modules by M. Amyari and M. S. Moslehian On extensions of Stone-Weierstrass Theorem by J. Arhippainen On $Q_t$-algebras by H. Arizmendi, A. Carrillo, and L. Palacios Some results on the algebraic approach to quantum dynamics by F. Bagarello Topological algebras and differential structures in $C^*$-algebras by S. J. Bhatt On $C^*$-spectrality of locally convex $^*$-algebras in $C^*$-algebras by S. J. Bhatt, A. Inoue, and H. Ogi Ptak function, positive elements and the positive cone of a unital LC *-algebra by D. G. Birbas Topologizable operators on locally convex spaces by J. Bonet On locally convex $H^*$-triple systems by A. J. C. Martin and M. Haralampidou Harmonic functional calculus in $m$-$p$-complete $A$- $p$-normed algebras by M. Chahboun A concept of finiteness in topological algebras by R. Choukri Square roots of strongly positive elements in lmc algebras by T. Chryssakis Harmonic functions operating on contractions in $m$-convex algebras by A. Kinani Some characterizations using cone notions in $m$-convex algebras by A. Kinani, M. A. Nejjari, and M. Oudadess On the completion of a $C^*$-normed algebra under a locally convex algebra topology by M. Fragoulopoulou, A. Inoue, and K.-D. Kursten On Silov's idempotent theorem by R. I. Hadjigeorgiou On generalized Ambrose algebras by M. Haralampidou Tensor products in quantum functional analysis: The non-matricial approach by A. Y. Helemskii Unbounded conditional expectations for $O^*$-algebras by A. Inoue, M. Takakura, and H. Ogi A Radon-Nikodym theorem for completely multi-positive linear maps and its applications by M. Joita Commutativity criteria for Gelfand-Mazur algebras by A. Kokk Topological algebras and quantum cosmology [the Abstract] by G. Lassner Representation of extensions, of $\mathbb{C}$, endowed with a discrete absolute value by A. L. Khlass and M. Oudadess Another proof of the Shirali-Ford theorem by M. Leinert On algebra spaces by A. Mallios On combinatorially regular topological algebras by A. Mallios and A. Oukhouya Topological algebras with continuous characters by A. Najmi Spectral decomposition and duality in commutative locally $C^*$-algebras by G. F. Nassopoulos Locally A-convex algebras revisited by L. Oubbi On different versions of Vidav-Palmer theorem by M. Oudadess On combinatorially regular Frechet algebra by A. Oukhouya Description of closed maximal one-sided ideals in several classes of real Gelfand-Mazur algebras by O. Panova Strictly flat cyclic Frechet modules and approximate identities by A. Y. Pirkovskii Homologically trivial Frechet algebras by A. Y. Pirkovskii and Y. V. Selivanov On strictly flat Frechet modules by C. P. Podara Uniform algebra isomorphisms and peripheral spectra by N. V. Rao, T. V. Tonev, and E. T. Toneva Bounded and strongly bounded elements in Banach quasi *-algebras by C. Trapani On dual coordinate systems by Y. Tsertos Operator algebras on locally convex spaces by W. Zelazko.

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