Titlebook: Inner Product Structures; Theory and Applicati Vasile Ion Istr??escu Book 1987 D. Reidel Publishing Company, Dordrecht, Holland 1987 Banach

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Banach Spaces and Complete Inner Product Spaces,Functions’) has shown a definite advantage of the operational techniques in the study of families of functions. Later work in this direction by Ivar Fredholm, Frigyes Riesz, E. Hellinger and O. Toeplitz (as well as many others) emphasized the direction inaugurated by Volterra. This work led to the c

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Ideals of Operators on Complete Inner Product Spaces and on Banach Spaces,mes an algebra. The study of this algebra and its subalgebras when the underlying Banach space is a complete inner product space was initiated in the monumental work of F. J. Murray and John von Neumann in 1941. J. W. Calkin’s studies of the two-sided ideals in that algebra, and their related congru

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Operator Characterizations of Inner Product Spaces,ner product space. Sometimes this fact may be interpreted to state that certain functions defined on the space . have some very special properties. In the first part of this chapter we present further characterizations of inner product spaces along these lines. Our approach is that we first present

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