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15
651
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Does the Fourier map preserve the inner product?

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#functional-analysis #fourier-analysis #hilbert-spaces #banach-spaces #fourier-transform
125
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SOT - limit of finite rank operators

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#functional-analysis #hilbert-spaces #banach-spaces
724
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Sequence in Hilbert space whose inner product with all basis vectors goes to 0

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#functional-analysis #hilbert-spaces #inner-products
158
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Prove the following subset is a Hilbert space (or not?)

Published on
#partial-differential-equations #operator-theory #hilbert-spaces #control-theory
35
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Simple Energy Estimate problem

Published on
#real-analysis #functional-analysis #inequality #hilbert-spaces #normed-spaces
64
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Orthogonality of a domain and image of an operator in a Hilbert space

Published on
#functional-analysis #operator-theory #hilbert-spaces
718
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Operators that improve strong convergence to norm convergence?

Published on
#functional-analysis #operator-theory #hilbert-spaces #compact-operators
362
Views

Banach Space with coercive bilinear form is a Hilbert Space

Published on
#linear-algebra #hilbert-spaces #banach-spaces
51
Views

Existence of nearby spectrum

Published on
#linear-algebra #functional-analysis #operator-theory #hilbert-spaces
157
Views

Completeness of $L^2([0,1]) \otimes L^2([0,1])$.

Published on
#real-analysis #functional-analysis #hilbert-spaces #tensor-products #complete-spaces
158
Views

If $T$ is compact and self-adjoint then $S^3=T$ for some $S$ compact and self-adjoint

Published on
#functional-analysis #operator-theory #hilbert-spaces #alternative-proof
187
Views

When is the weak limit of self-adjoint invertible operators invertible?

Published on
#functional-analysis #operator-theory #hilbert-spaces #weak-convergence #self-adjoint-operators
395
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Image of linear operator is dense (proof)

Published on
#functional-analysis #vector-spaces #hilbert-spaces #inner-products
473
Views

Connection between Representer Theorem and Mercer's Theorem?

Published on
#functional-analysis #hilbert-spaces #riesz-representation-theorem #reproducing-kernel-hilbert-spaces
247
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Characterization of compact operators on Hilbert spaces

Published on
#hilbert-spaces

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