List questions from operator-theory

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Determine the adjoint operator of an inclusion

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Concerning Theorem 3.3.3 Murphy's C*-algebras and operator theory ( characterization of positive functionals)

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Spectrum of an operator vs spectrum of a matrix

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$\delta : C([0,1])\to\mathbb{R}$, $f\mapsto f(0)$, with sup-norm is bounded but unbounded with one-norm.

Published on 21 Mar 2018 - 23:28

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Traces on $K(H)$

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Commutator of bounded operators and tensor product

Published on 22 Mar 2018 - 9:26

390

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Find the norms of the linear operator $Af(x) =f(x^2)$

Published on 22 Mar 2018 - 15:53

499

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Adjoint of the diagonal operator

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Square root of operators over $\mathbb{C}^n$

Published on 23 Mar 2018 - 10:50

249

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Real eigenvalues of continuum spectrum of a self-adjoint operator

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185

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Show that the composition of the inverse of an injective bounded linear operator and a bounded linear operator is bounded

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51

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$A^*$ has the same range with $A$

Published on 24 Mar 2018 - 22:56

87

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An application of the Hahn-Banach separation theorem

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204

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Eigenvalues and Eigenfunctions of an Operator

Published on 25 Mar 2018 - 18:03

List Question

Proof related to commuting self adjoint operators

Determine the adjoint operator of an inclusion

Concerning Theorem 3.3.3 Murphy's C*-algebras and operator theory ( characterization of positive functionals)

Spectrum of an operator vs spectrum of a matrix

$\delta : C([0,1])\to\mathbb{R}$, $f\mapsto f(0)$, with sup-norm is bounded but unbounded with one-norm.

Traces on $K(H)$

Commutator of bounded operators and tensor product

Find the norms of the linear operator $Af(x) =f(x^2)$

Adjoint of the diagonal operator

Square root of operators over $\mathbb{C}^n$

Real eigenvalues of continuum spectrum of a self-adjoint operator

Show that the composition of the inverse of an injective bounded linear operator and a bounded linear operator is bounded

$A^*$ has the same range with $A$

An application of the Hahn-Banach separation theorem

Eigenvalues and Eigenfunctions of an Operator

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