Ideal spaces are a very general class of rmed spaces of measurable functions, which includes e.g. Lebesgue and Orlicz spaces. Their most important application is in functional analysis in the theory of (usual and partial) integral and integro-differential equations. The book is a rather complete and self-contained introduction into the general theory of ideal spaces. Some emphasis is put on spaces of vector-valued functions and on the constructive viewpoint of the theory (without the axiom of choice). The reader should have basic kwledge in functional analysis and measure theory.
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
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Lecture Notes in Mathematics
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Springer-Verlag Berlin and Heidelberg GmbH & Co. K