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A Hilbert space is an abstract vector space possessing the structure of an inner product rmed vector spaces. The basic and historically first class of spaces studied in functional analysis are complete normed vector spaces over the real or complex numbers.
Such spaces are called Banach spaces. An important example is a Hilbert space, where the norm arises from an inner product.
These spaces are of fundamental importance in many areas, including the mathematical formulation of. This manuscript provides a brief introduction to Real and ( linear and nonlinear) Functional Analysis.
Topics covered includes: Banach and Hilbert spaces, Compact operators, The main theorems about Banach spaces, Bounded linear operators, Lebesgue integration, The Lebesgue spaces Lp, The Fourier transform, Interpolation, The Leray- Schauder mapping degree, The stationary Navier- Stokes. Buy Real Analysis: Modern Techniques and Their Applications on FREE SHIPPING on qualified orders. 1 Science, Math, and Modeling " If we are honest – and as scientists honesty is our precise duty" - - Paul Dirac.