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Hilbert spaces

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Functional Analysis

Part of the book series: Texts and Readings in Mathematics ((TRM,volume 13))

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Abstract

While normed spaces permit us to study ‘geometry of vector spaces’, we are constrained to discussing those aspects which depend only upon the notion of ‘distance between two points’. If we wish to discuss notions that depend upon the angles between two lines, we need something more — and that something more is the notion of an inner product.

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© 1997 Hindustan Book Agency

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Sunder, V.S. (1997). Hilbert spaces. In: Functional Analysis. Texts and Readings in Mathematics, vol 13. Hindustan Book Agency, Gurgaon. https://doi.org/10.1007/978-93-80250-90-8_2

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