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Functional analysis --- Banach algebras. --- Banach, Algèbres de --- Ideals (Algebra) --- Idéaux (algèbre) --- Modules (Algebra) --- Modules (algèbre) --- Continuity. --- Banach algebras --- Continuity --- Finite number systems --- Modular systems (Algebra) --- Algebra --- Finite groups --- Rings (Algebra) --- Algebraic ideals --- Algebraic fields --- Continuum --- Mathematics --- Indivisibles (Philosophy) --- Algebras, Banach --- Banach rings --- Metric rings --- Normed rings --- Banach spaces --- Topological algebras --- Philosophy --- Banach, Algèbres de.

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This book gives a coherent account of the theory of Banach spaces and Banach lattices, using the spaces C_0(K) of continuous functions on a locally compact space K as the main example. The study of C_0(K) has been an important area of functional analysis for many years. It gives several new constructions, some involving Boolean rings, of this space as well as many results on the Stonean space of Boolean rings. The book also discusses when Banach spaces of continuous functions are dual spaces and when they are bidual spaces.

Mathematics. --- K-theory. --- Algebra. --- Ordered algebraic structures. --- Algebraic topology. --- Order, Lattices, Ordered Algebraic Structures. --- Algebraic Topology. --- K-Theory. --- Banach spaces. --- Functions, Continuous. --- Continuous functions --- Functions of complex variables --- Generalized spaces --- Topology --- Algebraic topology --- Homology theory --- Mathematics --- Mathematical analysis --- Algebraic structures, Ordered --- Structures, Ordered algebraic --- Algebra