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15
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SOT on $B(H)$ different to SOT on $B(H)\otimes 1$

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#functional-analysis #operator-theory #hilbert-spaces #tensor-products #operator-algebras
211
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Proving every sequence in an infninite dimensional hilbert space with norm one contains a subsequence which converges weakly to f in H

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#functional-analysis #analysis #hilbert-spaces #fourier-series
623
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Characterization of convex set with empty interior on Hilbert spaces

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#convex-analysis #hilbert-spaces #normed-spaces
346
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How does one derive the Fock space based, physicists' construction of the quantized KG field?

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#functional-analysis #hilbert-spaces #mathematical-physics #quantum-mechanics #quantum-field-theory
33
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How to define the Hilbert space

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#functional-analysis #hilbert-spaces
225
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Domain of Linear operator forming a Hilbert Space

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#functional-analysis #measure-theory #operator-theory #hilbert-spaces
48
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In a Hilbert space $v \in l^2, A = \{x \in l^2: |x(n) |\le |v(n)|$ for all$ n\}$, prove $A$ is compact

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#functional-analysis #hilbert-spaces
157
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Looking for an example of a nuclear operator which is not a diagonal linear operator

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#functional-analysis #measure-theory #operator-theory #hilbert-spaces
1k
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In an infinite dimensional Hilbert space, when can we express any element in H as linear combination of the basis vectors?

Published on
#analysis #operator-theory #hilbert-spaces #linear-transformations
460
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Convergence in Hilbert space

Published on
#convergence-divergence #hilbert-spaces
99
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Looking for a possible counterexample

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#functional-analysis #measure-theory #operator-theory #hilbert-spaces
56
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Completing a necessary - sufficient condition for Boundedness of Operator

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#functional-analysis #operator-theory #hilbert-spaces
28
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bilenear form extrema equality

Published on
#real-analysis #functional-analysis #hilbert-spaces #hilbert-calculus
86
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About interpolation spaces

Published on
#functional-analysis #hilbert-spaces #topological-vector-spaces
1.3k
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Considering operators on the direct sum of Hilbert spaces as operator valued matrices

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#functional-analysis #operator-theory #hilbert-spaces #operator-algebras #bochner-spaces

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