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Operator-theory
New post in Operator-theory
Are there non nilpotent operators with spectrum 0?
August 18th, 2022
operator-theory
linear-algebra
Proof explanation: convexity of the numerical range of an operator (Toeplitz-Hausdorff Theorem)
October 29th, 2020
functional-analysis
real-analysis
operator-theory
A operator is unitary if and only if it is a surjective isometry
September 8th, 2020
functional-analysis
hilbert-spaces
operator-theory
Proof of equivalent characterizations of compact operators
August 1st, 2022
compact-operators
proof-verification
operator-theory
functional-analysis
A compact operator is completely continuous.
August 1st, 2022
functional-analysis
operator-theory
compact-operators
banach-spaces
Symmetric Square Root of Symmetric Invertible Matrix
August 17th, 2022
operator-theory
linear-algebra
matrices
Properties of resolvent operators
August 1st, 2022
semigroup-of-operators
operator-theory
Prove $p^2=p$ and $qp=0$
October 31st, 2020
vector-spaces
operator-theory
linear-algebra
The Principle of Condensation of Singularities
August 1st, 2022
banach-spaces
baire-category
normed-spaces
operator-theory
functional-analysis
Positive operator is bounded
August 1st, 2022
functional-analysis
banach-spaces
operator-theory
Definition of Essentially Self Adjoint Operators
August 1st, 2022
functional-analysis
operator-theory
hilbert-spaces
adjoint-operators
Riesz Functional Calculus vs. Holomorphic Functional Calculus
August 1st, 2022
operator-theory
functional-analysis
operator-algebras
spectral-theory
Showing that the orthogonal projection in a Hilbert space is compact iff the subspace is finite dimensional
November 21st, 2020
operator-theory
compact-operators
hilbert-spaces
Self-adjoint operator as difference of two positive operators
August 1st, 2022
operator-theory
functional-analysis
adjoint-operators
hilbert-spaces
Spectral theory - continuous spectrum
August 1st, 2022
analysis
functional-analysis
real-analysis
spectral-theory
operator-theory
The spectral radius of normal operator
August 1st, 2022
operator-theory
hilbert-spaces
normal-operator
spectral-theory
functional-analysis
understanding the symmetric/Hermitian matrix/operator
August 1st, 2022
matrices
functional-analysis
operator-theory
linear-algebra
Unbounded linear operator
August 16th, 2022
linear-algebra
operator-theory
linear-transformations
An introductory textbook on functional analysis and operator theory
August 13th, 2022
functional-analysis
reference-request
operator-theory
is bounded linear operator necessarily continuous?
August 1st, 2022
functional-analysis
partial-differential-equations
operator-theory
banach-spaces
Is convolution operator compact?
August 1st, 2022
operator-theory
functional-analysis
convolution
compact-operators
Bounded operator that does not attain its norm
February 22nd, 2020
operator-theory
hilbert-spaces
functional-analysis
Set of all compact operators $K(H)$ is the unique ideal in $B(H)$?
August 1st, 2022
hilbert-spaces
functional-analysis
compact-operators
ideals
operator-theory
Two different definitions of ellipticity
August 25th, 2022
partial-differential-equations
operator-theory
hilbert-spaces
Coercive bilinear form on Hilbert space
May 17th, 2020
linear-algebra
quadratic-forms
operator-theory
functional-analysis
Matrix Representation of Operators in Infinite Dimensional (Separable) Hilbert Spaces
August 15th, 2022
functional-analysis
operator-theory
hilbert-spaces
When solving a linear differential equation by factoring the operator, how does one guarantee no solutions are lost?
August 1st, 2022
factoring
operator-theory
partial-differential-equations
linear-algebra
norm of integral operator in $C([0,1])$
August 1st, 2022
functional-analysis
normed-spaces
operator-theory
Neumann series and spectral radius
August 1st, 2022
spectral-theory
operator-theory
If $A_n$ is a sequence of positive bounded linear operators converging in norm to $A$ on a Hilbert Space, show $\sqrt{A_n}\to\sqrt{A}$ in norm.
August 13th, 2022
functional-analysis
operator-theory
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