# Download Banach Algebras and Automatic Continuity (London Mathematical Society Monographs) eBook

## by **H. Garth Dales**

Article in Bulletin of the London Mathematical Society 34(04):502 - 512 · July 2002 with 51 Reads. How we measure 'reads'

Article in Bulletin of the London Mathematical Society 34(04):502 - 512 · July 2002 with 51 Reads. How we measure 'reads'. Soc. 34 (2002) C f 2002 London Mathematical Society DOI: 1. 6 A -algebra is a complex algebra, A, with a fixed conjugate linear involution References. On isomorphisms of rings of linear operators. Banach algebras and the general theory of -algebras.

London Mathematical Society Monographs, 24, Oxford: Clarendon Press. An introduction to independence results for analysts. London Mathematical Society Lecture Note Series, vol. 115, Cambridge, England: Cambridge University Press. Hilbert’s Tenth Problem is unsolvable.

Bulletin of the London Mathematical Society . Recommend this journal.

Bulletin of the London Mathematical Society English Français. Bulletin of the London Mathematical Society.

Dales, H. Banach algebras and automatic continuity, London Mathematical Society Monographs. Vol. 24 (The Clarendon Press Oxford University Press, Oxford, 2000). Dales, H. G. and Loy, R. ‘Uniqueness of the norm topology for Banach algebras with finite dimensional radical, Proc. (3) 74 (1997), 633–661. and McClure, J. ‘Continuity of homomorphisms into certain commutative Banach algebras, Proc. (3) 26 (1973), 69–81.

Banach algebras combine algebraic and analytical aspects: it is the interplay of these structures that gives the subject its fascination. This volume expounds the general theory of Banach algebras, and shows how their topology is often determined by their algebraic structure: the central questions ask when homomorphisms and derivations from Banach algebras are automatically continuous, and seek canonical forms for these maps.

Start by marking Banach Algebras and Automatic Continuity as Want to Read . This volume expounds the general theory of Banach algebras and shows how their topology is often determined by their algebraic structures.

Start by marking Banach Algebras and Automatic Continuity as Want to Read: Want to Read savin. ant to Read.

London Mathematical Society Monographs. New, unpublished results and synthesis. Includes many examples. The book describes many specific classes of Banach algebras, including function algebras, group algebras, algebras of operators, C -algebras, and radical Banach algebras; it is a compendium of results on these examples. The subject interweaves algebra, functional analysis, and complex analysis, and has a dash of set theory and logic; the background in all these areas is fully explained. This volume is essential reading for anyone interested in any aspect of this vast subject.

In particular, many of the examples and conditions discussed here may be found in Chapter 4 of that book.

A very useful text for the material in this mini-course is the book Banach Algebras and Automatic Continuity by H. Garth Dales, London Mathematical Society Monographs, New Series, Volume 24, The Clarendon Press, Oxford, 2000. In particular, many of the examples and conditions discussed here may be found in Chapter 4 of that book.

G. Dales, Banach Algebras and Automatic Continuity. I, Algebras and Banach Algebras (Cambridge University Press, Cambridge, 1994)Google Scholar

G. London Mathematical Society Monographs, vol. 24 (Clarendon Press, Oxford, 2000)Google Scholar. 70. H. Dales, A. M. Lau, The biduals of Beurling algebras. I, Algebras and Banach Algebras (Cambridge University Press, Cambridge, 1994)Google Scholar. 195. T. almer, Banach Algebras and the General Theory of ∗-Algebras, vol. II, ∗-Algebras (Cambridge University Press, Cambridge, 2001)Google Scholar.