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Does a Bessel sequence not being a frame mean that $\sum_n|\langle f,f_n\rangle|^2>B\|f\|^2$ for some $f\in H$?

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#hilbert-spaces #frame-theory
258
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Does the Hilbert space need to be separable to define frames?

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#real-analysis #functional-analysis #hilbert-spaces #frame-theory
122
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Zonotope: Image of the Diagonals of a Hypercube Under a Linear Map

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#linear-algebra #convex-geometry #polytopes #discrete-geometry #frame-theory
121
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Connections between $0$-toposes and $1$-toposes (Grothendieck and elementary)

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#category-theory #topos-theory #higher-category-theory #heyting-algebra #frame-theory
80
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Some questions about frames

Published on
#linear-algebra #frame-theory
229
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Proof that the eigenvalues of the frame operator $S$ are optimal frame bounds, and that $S = AI$ iff the frame is tight

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#linear-algebra #frame-theory
102
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Sampling from equal-norm tight frame (Vershynin exercise 5.6.6)

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#matrices #probability-theory #matrix-norms #concentration-of-measure #frame-theory
85
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Estimation of operator norm of the difference between identity and Gram matrix?

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#operator-theory #numerical-linear-algebra #frame-theory
45
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Properties of a Matrix of Frames

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#functional-analysis #operator-theory #banach-spaces #adjoint-operators #frame-theory
59
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A particular tight frame system

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#functional-analysis #hilbert-spaces #upper-lower-bounds #frame-theory
74
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Why is this a Parseval Frame?

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#functional-analysis #hilbert-spaces #banach-spaces #signal-processing #frame-theory
118
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Books for the Finite Dimensional Normed Spaces

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#linear-algebra #functional-analysis #analysis #normed-spaces #frame-theory
256
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Is a sequence a frame iff it spans the space?

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#linear-algebra #hilbert-spaces #frame-theory

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