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Operator-theory
New post in Operator-theory
Show that the operator $(x_n)_n\mapsto (\frac{x_n}{n}) $ is compact
August 1st, 2022
compact-operators
operator-theory
functional-analysis
Spectrum of unitary operators lie in the unit circle
August 1st, 2022
operator-theory
functional-analysis
hilbert-spaces
spectral-theory
Question about Fredholm operator
August 1st, 2022
functional-analysis
banach-spaces
operator-theory
Composition of Fredholm Operators
August 1st, 2022
operator-theory
operator-algebras
Commutator of $x$ and $p^2$
August 1st, 2022
analysis
operator-theory
mathematical-physics
Compact operator can be approximated by finite rank operator
August 1st, 2022
operator-theory
proof-verification
functional-analysis
compact-operators
Positive compact operator has unique square root.
August 1st, 2022
linear-algebra
hilbert-spaces
operator-theory
functional-analysis
The relation between bounded invertible and surjective operators
August 1st, 2022
hilbert-spaces
operator-theory
functional-analysis
Is the Laplace transform a linear operator?
August 1st, 2022
laplace-transform
signal-processing
operator-theory
functional-analysis
fourier-analysis
Are symmetric matrices necessarily positive-definite / positive semi-definite?
August 1st, 2022
symmetry
linear-algebra
operator-theory
Show that a unitary operator is of the form exp(iA)
August 1st, 2022
operator-theory
How can we prove that the space of trace class operators on a Hilbert space $H$ is the closure of $H\otimes H$ with respect to the trace norm?
March 29th, 2020
hilbert-spaces
functional-analysis
operator-theory
trace
Does elementwise matrix inequality extend to norms?
August 1st, 2022
matrices
linear-algebra
normed-spaces
operator-theory
Rayleigh-Ritz Theorem
August 1st, 2022
eigenvalues-eigenvectors
mathematical-physics
matrices
operator-theory
eigenfunctions
Projection operator in Hilbert space
August 1st, 2022
hilbert-spaces
functional-analysis
operator-theory
operator-algebras
Eigenfunctions of sum of operators
August 1st, 2022
operator-theory
Composition of pseudo-differential operators
November 12th, 2020
microlocal-analysis
differential-operators
operator-theory
partial-differential-equations
pseudo-differential-operators
Gateaux and Frechet derivatives and related notions
January 2nd, 2020
derivatives
banach-spaces
normed-spaces
operator-theory
If $\|Tv\|=\|T^*v\|$ for all $v\in V$, then $T$ is a normal operator
August 1st, 2022
linear-algebra
operator-theory
inner-products
adjoint-operators
Composition involving bounded linear operators
August 1st, 2022
analysis
functional-analysis
operator-theory
normed-spaces
Transpose of Volterra operator
December 5th, 2020
operator-theory
functional-analysis
cyclic vector exists for symmetric operator iff there no repeated eigenvalues
August 1st, 2022
functional-analysis
hilbert-spaces
operator-theory
Relationship between different topologies of bounded operators on a Hilbert space
August 1st, 2022
hilbert-spaces
general-topology
functional-analysis
operator-theory
Elementary properties of absolute value operator
August 1st, 2022
functional-analysis
hilbert-spaces
operator-theory
Which functions are dense in this Hölder-space?
January 10th, 2020
real-analysis
operator-theory
banach-spaces
Generalized eigenspaces of a compact operator are finite dimensional
August 1st, 2022
functional-analysis
eigenvalues-eigenvectors
operator-theory
Finding eigenfunctions and eigenvalues to Sturm-Liouville operator
August 1st, 2022
ordinary-differential-equations
eigenvalues-eigenvectors
operator-theory
A spectrum of an invertible operator does not contain $0$
August 1st, 2022
spectral-theory
functional-analysis
operator-theory
semigroup-of-operators
Spectral theorem of compact operators in Hilbert space
August 1st, 2022
compact-operators
spectral-theory
operator-theory
functional-analysis
Spectrum of a Self-Adjoint Operator is Real
August 1st, 2022
operator-theory
functional-analysis
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