BANACH ALGEBRAS by ZELAZKO, WIESLAW TADEUSZ - 1973

Elsevier Science, 1973 8vo (23.5 cm), XII, 182 pp. Publisher's cloth and dust jacket (dj stained and frayed at extremities, spine sunned, binding and internally very good, inscribed author name on the title). Banach algebras are mathematical structures that combine elements of Banach spaces (complete normed vector spaces) with the multiplication operation satisfying certain properties. Specifically, a Banach algebra is a Banach space equipped with a bilinear operation (multiplication) that is both associative and compatible with the norm on the space. Banach algebras arise naturally in various areas of mathematics, including functional analysis, harmonic analysis, operator theory, and algebraic geometry. The book is an introduction to Banach algebras and consists of five chapters: I. General Information about Banach Algebras; II. Commutative Banach Algebras; III. Analytic Functions in Banach Algebras; IV. Algebras with an Involution; V. Function Algebra.

Warsaw: Elsevier,Polish Scientific Publications, 1973. First edition. Hardocver. Very Good/Sl/worn dustjacket. 8vo. pp. 182, Banach algebras are Banach spaces equipped with a continuous binary operation of multiplication. Numerous spaces considered in functional analysis are also algebras, e.g. the space C(0, 1) with pointwise multiplication of functions, or the space l1 with convolution multiplication of sequences. Theorems of the general theory of Banach algebras, applied to those spaces,…