Titlebook: Banach Lattices and Positive Operators; Helmut H. Schaefer Book 1974 Springer-Verlag Berlin · Heidelberg 1974 Banach.Banachscher Verband.E

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Lattices of Operators,facts permits many interesting applications: For example, a fairly easy access to the theory of integral and absolutely summing maps, construction of Banach lattice tensor products with identification of their duals, clarification of the relations between kernel and nuclear operators, and others.

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Positive Matrices,ach lattices—the central theme of this book. As in the later chapters, the ideal structure of a vector lattice (cf. Chapter II, § 2) is used extensively and advantageously in Chapter I; even in the finite dimensional case discussed here, the judicious use of ideal theory turns out to be the key to many fruitful insights.

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