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Why are we interested in determining the spectrum?

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#spectral-theory #compact-operators #unbounded-operators
39
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Do operators which admit non-orthonormal spectral expansions have any non-basis eigenvectors?

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#functional-analysis #operator-theory #hilbert-spaces #spectral-theory
117
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does asymptotic behavior guarantee the uniqueness?

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#functional-analysis #ordinary-differential-equations #spectral-theory #inverse-problems
806
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Finding spectrum of given operator

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#functional-analysis #operator-theory #banach-spaces #spectral-theory
84
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Calculate the spectra for $T: l_2(\mathbb{N}) \to l_2(\mathbb{N})$ defined by $Tx = \left( \frac{n-1}{n+1} x_n \right)_{n}$

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#functional-analysis #proof-verification #operator-theory #spectral-theory
763
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Normalized Laplacian eigenvalues of a path graph

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#graph-theory #spectral-theory #algebraic-graph-theory #spectral-graph-theory
806
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Why denote the spectral decomposition of a bounded operator as an integral?

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#functional-analysis #operator-theory #spectral-theory
105
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Spectral Measure of Unitary Operators

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#probability #functional-analysis #operator-theory #spectral-theory
499
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When do two unbounded operators commute ?

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#functional-analysis #spectral-theory #unbounded-operators
3.6k
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Spectrum of unitary operators lie in the unit circle

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#functional-analysis #operator-theory #hilbert-spaces #spectral-theory
166
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Resolvent set of second derivative

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#operator-theory #spectral-theory
1.5k
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Proof of the spectral radius formula

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#operator-algebras #spectral-theory
75
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Spectral Theorem for bounded selfadjoint operators

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#real-analysis #eigenvalues-eigenvectors #spectral-theory #orthonormal #adjoint-operators
88
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Nonnegativity assumption for the Schwarz rearrangement of a function

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#measure-theory #spectral-theory #decreasing-rearrangements
330
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Unable to solve nonlinear equation using scipy.optimize.fsolve

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#optimization #spectral-theory #python #fast-fourier-transform

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