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15
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Show that the projection moves you closer to the set, i.e. $|P_C(x) - y| \leq |x-y|$ for all $y\in C$

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#linear-algebra #convex-analysis #hilbert-spaces
100
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Fenchel-Moreau is an Involution of Convex functions on a Hilbert space?

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#real-analysis #convex-analysis #hilbert-spaces #duality-theorems
68
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Three Questions about a weighted right shift operator.

Published on
#sequences-and-series #functional-analysis #operator-theory #hilbert-spaces #spectral-theory
152
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Confusion about an exercise in Conway's Functional Analysis

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#functional-analysis #analysis #hilbert-spaces
61
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Reconstructing Convex Functional from gradient

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#real-analysis #convex-analysis #hilbert-spaces #vector-analysis #subgradient
1.2k
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Is the adjoint of an isometry an isometry?

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#linear-algebra #functional-analysis #hilbert-spaces #isometry
240
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From $L^p$ to $L^q$ Norm for finite trigonometric polynomial

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#functional-analysis #hilbert-spaces #banach-spaces #fourier-series
69
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How to use operators on tensor products

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#hilbert-spaces #physics #mathematical-physics #tensors #adjoint-operators
267
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Tensor Product of Hilbert Spaces: how to prove completeness

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#functional-analysis #hilbert-spaces #tensor-products
613
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Inequality with projections in Hilbert Space

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#functional-analysis #hilbert-spaces #projection
3.1k
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Generation of Hermite polynomials with Gram-Schmidt procedure

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#hilbert-spaces #gram-schmidt #hermite-polynomials
202
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Existence of orthogonal Hamel basis for infinite dimensional vector space.

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#linear-algebra #functional-analysis #hilbert-spaces #hamel-basis
1.3k
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Linear operator is compact if and only if its adjoint is compact

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#linear-algebra #hilbert-spaces #cauchy-sequences #compact-operators #adjoint-operators
51
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self-adjoint operators $T,P$ and their kernel

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#functional-analysis #hilbert-spaces #self-adjoint-operators
156
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What are some sufficient conditions for the eigenvalues of an operator to form a discrete set?

Published on
#linear-algebra #functional-analysis #hilbert-spaces

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