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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A₁ A₂ algebra assertion B₁ B₂ Banach space Borel bounded variation Cauchy sequence coefficients coincides Compute condition contains continuous function converges convex set convolution corresponding countably additive defined definition denoted dense differentiable dual dµ(x element equal equation equivalent everywhere exists f₁ f₂ finite finite-dimensional follows formula Fourier transformation function f functor H₁ H₂ Hahn-Banach theorem half-ring Hence Hilbert space implies inequality isometric isomorphic K₁ L₁ L₁(X L₂ L₂(R Lebesgue integral Lebesgue measure lemma Let f linear functional linear space mapping measurable function measurable sets measure µ metric space Mor(A morphisms normed space operator of multiplication orthogonal P₁ polynomial pre-compact PROOF properties Prove relation resp selfadjoint selfadjoint operator seminorms signed measure space H subset subspace Suppose Theorem topology unit ball vector Verify x₁ zero