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Fredholm alternative question for Green's functions

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#ordinary-differential-equations #partial-differential-equations #spectral-theory #greens-function
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Is the spectral decomposition of self-adjoint compact operators unique?

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#functional-analysis #operator-theory #spectral-theory #compact-operators
52
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Eigenfunctions of PDE

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#partial-differential-equations #spectral-theory #eigenfunctions
205
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Spectrum of the bilateral left shift operator in $L^{2}(\mathbb{R})$

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#sobolev-spaces #spectral-theory #semigroup-of-operators
99
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The spectrum of a matrix operator is the set of its eigenvalues. But how to prove?

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#linear-algebra #matrices #functional-analysis #spectral-theory #banach-algebras
38
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To show an element in the sprectum of a matrix $M$ is negative in the spectrum of $-M$

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#linear-algebra #functional-analysis #operator-theory #spectral-theory #banach-algebras
47
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Right half-plane in resolvent set of $B$. Why is $B$ invertible?

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#functional-analysis #operator-theory #spectral-theory #holomorphic-functions
489
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Separable Hilbert space implies countable number of eigenvalues

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#functional-analysis #operator-theory #hilbert-spaces #spectral-theory
65
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Simplifying an expression with $\Delta$

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#real-analysis #functional-analysis #partial-differential-equations #spectral-theory
285
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Eigenvalues of an operator in a real separable Hilbert space as smooth functions of a parameter

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#functional-analysis #hilbert-spaces #inner-products #spectral-theory
77
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Choosing eigenvectors and eigenvalues continuously

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#general-topology #measure-theory #operator-theory #hilbert-spaces #spectral-theory
34
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estimate on the norm of Aexp(tA)

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#partial-differential-equations #spectral-theory #semigroup-of-operators
24
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Why is $E$ closed?

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#functional-analysis #spectral-theory #banach-algebras
41
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naive spectral inequality

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#functional-analysis #spectral-theory #quantum-mechanics #laplacian
575
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Question from Axler's Linear Algebra Done Right Regarding Isometries and Normal Operators

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#linear-algebra #spectral-theory #isometry #normal-operator

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