Titlebook: Norm Ideals of Completely Continuous Operators; Robert Schatten Book 1970Latest edition Springer-Verlag Berlin Heidelberg 1970 Analysis.Fu

鋼筆記下懲罰

paltry

The trace-class (,),Consider .. — the linear space of all linear transformations on an .-dimensional space. The trace .(.) defined for . ∈ .. is a complex valued linear functional whose characteristic properties are simple and well known. Moreover .(.) = .([.]) defines a norm on ... An extension of these facts is being presented in the discussion which follows.

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,The successive conjugate spaces of the space ? of all completely continuous operators,We denote by . the Banach space (algebra) of all operators on ? and by ? its subspace (Banach subalgebra) of all completely continuous operators; the bound of an operator represents its norm.

Charlatan

Meander

The Schmidt-class,y be interpreted as the integral operators on an abstract Hilbert space in the sense specified in the following section. The reader will do well to supplement the discussion of this chapter by consulting . and . [1], especially for their very illuminating bibliographic account of the theory of integral equations.

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Functional

https://doi.org/10.1007/978-3-662-35155-0Analysis; Funktionalanalysis; Mathematik; Norm; Operator; Operatortheorie

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978-3-662-34827-7Springer-Verlag Berlin Heidelberg 1970

MOTTO

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