Ideal spaces are a very general class of normed 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 knowledge in functional
analysis and measure theory.
General
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