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Isomorphic characterizations of inner product spaces by orthogonal series with vector valued coefficients. (English) Zbl 0256.46024

MSC:
46C05 Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product)
46B03 Isomorphic theory (including renorming) of Banach spaces
46B15 Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces
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