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Operator-theory
New post in Operator-theory
Is there an injective operator with a dense nonclosed range?
August 1st, 2022
operator-theory
functional-analysis
Counter example: strong convergence does not imply convergence in operator norm
August 1st, 2022
strong-convergence
functional-analysis
uniform-convergence
hilbert-spaces
operator-theory
Show that the operator is invertible
August 1st, 2022
operator-theory
banach-spaces
normed-spaces
functional-analysis
Spectral theorem for unitary operators
August 1st, 2022
hilbert-spaces
operator-theory
spectral-theory
functional-analysis
The spectrum of the Volterra operator is $\{0\}$
August 1st, 2022
functional-analysis
operator-theory
Derivative of Convolution with Respect to One of the Arguments of the Convolution
August 26th, 2020
real-analysis
convolution
matrix-calculus
operator-theory
derivatives
Multiplication operator is not jointly continuous in strong topology
August 1st, 2022
general-topology
functional-analysis
operator-theory
Proof: Inequality in Mercer's theorem
August 1st, 2022
operator-theory
spectral-theory
functional-analysis
Adjoint operator, bijective
June 1st, 2020
operator-theory
functional-analysis
Residual spectrum is empty
August 1st, 2022
spectral-theory
functional-analysis
operator-theory
Norm of the quotient map for a normed space
August 1st, 2022
operator-theory
functional-analysis
The operator norm of the composition of linear bounded operators between Banach spaces.
August 6th, 2022
linear-transformations
functional-analysis
proof-verification
operator-theory
Under which circumstances is the Laplacian compact?
March 1st, 2020
sobolev-spaces
functional-analysis
operator-theory
Nilpotent linear operators
August 3rd, 2022
operator-theory
linear-algebra
vector-spaces
For positive invertible operators $C\leq T$ on a Hilbert space, does it follow that $T^{-1}\leq C^{-1}$?
July 2nd, 2020
operator-theory
hilbert-spaces
functional-analysis
Proof of the integral operator in $L^2(\mathbb{R})$ being self-adjoint "by hand"
August 1st, 2022
operator-theory
functional-analysis
integral-operators
Trace of an operator
February 10th, 2020
operator-theory
functional-analysis
operator-algebras
The spectra of weighted shifts
August 1st, 2022
operator-theory
banach-algebras
Operator norm and Hilbert Schmidt norm
September 13th, 2020
functional-analysis
operator-theory
hilbert-spaces
normed-spaces
Norm of integral operator in $L^1$
August 4th, 2022
normed-spaces
functional-analysis
operator-theory
Schwarz inequality for unital completely positive maps
August 1st, 2022
functional-analysis
banach-algebras
operator-theory
Closure of operators
August 1st, 2022
operator-theory
functional-analysis
What is the general form of linear operators on continuous functions?
August 1st, 2022
operator-theory
integral-operators
functions
functional-analysis
Hellinger-Toeplitz theorem use principle of uniform boundedness
August 2nd, 2022
operator-theory
functional-analysis
hilbert-spaces
What are the range and the norm of this bounded linear operator?
August 7th, 2022
normed-spaces
operator-theory
functional-analysis
analysis
Range of normal operator and its adjoint are equal
August 1st, 2022
operator-theory
hilbert-spaces
functional-analysis
Show that any compact set in $\mathbb{C}$ is the spectrum of an operator.
August 1st, 2022
functional-analysis
operator-theory
Compact Operators: Weak Convergence
August 1st, 2022
operator-theory
functional-analysis
banach-spaces
Subspaces in the image of compact operator
March 6th, 2020
compact-operators
functional-analysis
operator-theory
banach-spaces
Show $T$ is invertible if $T'$ is invertible where $T\in B(X)$, $T'\in B(X')$
August 1st, 2022
operator-theory
banach-spaces
functional-analysis
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