Many Valued Algebras

The term "function algebra" usually refers to a uniformly closed algebra of complex valued continuous functions on a compact Hausdorff space. Such Banach alge­ bras, which are also called "uniform algebras", have been much studied during the past 15 or 20 years. Since the most important examples of uniform algebras consist of, or are built up from, analytic functions, it is not surprising that most of the work has been dominated by questions of analyticity in one form or another. In fact, the study of these special algebras and their generalizations accounts for the bulk of the re­ search on function algebras. We are concerned here, however, with another facet of the subject based on the observation that very general algebras of continuous func­ tions tend to exhibit certain properties that are strongly reminiscent of analyticity.

Authors: Gatto, Letterio, Salehyan, Parham
Offers a comprehensive approach to advanced topics such as linear ODEs and generalized Wronskians, Schubert calculus for ordinary Grassmannians and vertex operators arising from the representation theory of infinite-dimensional Lie algebras
Examines topics within a common interdisciplinary framework provided by the notions of linear recurrent sequences and Hasse-Schmidt derivations on a Grassmann algebra
Provides a self-contained presentation of pioneering research material starting from elementary observations