Theorems and Problems in Functional Analysis |
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Theorems and Problems in Functional Analysis A. A. Kirillov,A. D. Gvishiani No preview available - 2012 |
Theorems and Problems in Functional Analysis A. A. Kirillov,A. D. Gvishiani No preview available - 2011 |
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additive algebra assertion ball Banach space basis Borel bounded called Cauchy closed coefficients coincides collection compact complete Compute condition consequently consider consisting Construct contains continuous function converges convex convolution corresponding countable defined definition denoted dense derivatives determined difference differentiable distance domain dual element equal equation equivalent everywhere example exists expression extension fact field Find finite follows formula Fourier transformation function f given Hence Hilbert space identity implies inequality infinitely integral interval inverse isomorphism limit linear linear functional linear space mapping measure metric multiplication natural norm object operator polynomials positive Problem PROOF Prove relation respect result Riemann integral seminorms sequence space H subset subspace suffices Suppose taking Theorem topology unique unit values vectors Verify zero