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Banach-algebras
New post in Banach-algebras
Prove the resolvent equation
May 4th, 2020
banach-algebras
functional-analysis
Closed unit ball of $B(H)$ is not compact in strong operator topology of $B(H)$.
July 16th, 2020
operator-theory
banach-algebras
von-neumann-algebras
c-star-algebras
functional-analysis
How to prove $F$ is a contraction mapping?
August 1st, 2022
banach-spaces
nonlinear-system
fixed-point-theorems
banach-algebras
functional-analysis
Operator Exponential $e^A e^B = e^{A+B}$
August 1st, 2022
banach-spaces
functional-analysis
banach-algebras
matrix-exponential
Showing that an injective $^*$-homomorphism between two $C^*$-algebras is isometric.
August 1st, 2022
functional-analysis
banach-algebras
operator-theory
operator-algebras
c-star-algebras
Example of a Banach algebra $ A $ whose only closed ideals are $ \{ 0 \} $ and $ A $.
June 11th, 2020
functional-analysis
ideals
banach-algebras
Spectral radius of an element in a C*-algebra
October 9th, 2020
functional-analysis
operator-theory
banach-spaces
banach-algebras
Linear functionals can be decomposed as linear combinations of positive ones?
July 10th, 2020
operator-theory
banach-algebras
functional-analysis
The supremum norm is submultiplicative
August 1st, 2022
banach-algebras
normed-spaces
inequality
Banach Algebra: $\sigma(xy)\cup\{0\} = \sigma(yx)\cup\{0\}$
August 1st, 2022
functional-analysis
banach-algebras
Polar decomposition of invertible elements in a unital C$ ^{*} $-algebra.
August 1st, 2022
c-star-algebras
functional-analysis
banach-algebras
operator-algebras
Are nilpotent Lie groups unimodular?
March 22nd, 2020
functional-analysis
harmonic-analysis
banach-algebras
locally-compact-groups
strictly positive elements in $C^*$-algebra
April 24th, 2020
c-star-algebras
banach-algebras
If an operator have only Real eigenvalues + symmetric then it's self-adjoint?
August 1st, 2022
operator-algebras
banach-algebras
linear-algebra
operator-theory
functional-analysis
Prove that $L^1$ is a Banach algebra with multiplication defined by convolution
August 1st, 2022
measure-theory
functional-analysis
banach-algebras
The spectra of weighted shifts
August 1st, 2022
operator-theory
banach-algebras
Schwarz inequality for unital completely positive maps
August 1st, 2022
functional-analysis
operator-theory
banach-algebras
Maximal abelian subalgebra of Banach algebra is closed and contains the unit
August 1st, 2022
functional-analysis
banach-algebras
application of c*algebras to PDEs
August 1st, 2022
partial-differential-equations
c-star-algebras
banach-algebras
functional-analysis
operator-algebras
Show that the spectral radius is an upper semi-continuous function
August 1st, 2022
continuity
banach-algebras
functional-analysis
spectral-theory
Maximal ideals in the algebra of continuously differentiable functions on [0,1]
August 1st, 2022
banach-algebras
commutative-algebra
functional-analysis
For which $s\in\mathbb R$, is $H^s(\mathbb T)$ a Banach algebra?
August 1st, 2022
functional-analysis
analysis
fourier-analysis
sobolev-spaces
banach-algebras
Proof of Gelfand formula for spectral radius
August 1st, 2022
functional-analysis
spectral-theory
banach-algebras
Can $ {L^{1}}(G) $ be a $ C^{*} $-algebra?
August 1st, 2022
functional-analysis
lp-spaces
banach-algebras
c-star-algebras
Some examples in C* algebras and Banach * algebras
August 1st, 2022
functional-analysis
examples-counterexamples
operator-algebras
banach-algebras
von-neumann-algebras
Resolution of the identity (basic questions)
August 1st, 2022
spectral-theory
banach-algebras
functional-analysis
Fourier transform as a Gelfand transform
January 1st, 2020
fourier-analysis
banach-algebras
operator-theory
functional-analysis
Prove that $\sigma(AB) \backslash \{0\} = \sigma(BA)\backslash \{0\} $
August 1st, 2022
operator-theory
banach-spaces
functional-analysis
banach-algebras
Maximal ideals and maximal subspaces of normed algebras
August 1st, 2022
examples-counterexamples
banach-algebras
operator-algebras
Is $L^2(\mathbb{R})$ with convolution a Banach Algebra?
August 1st, 2022
banach-algebras
convolution
fourier-analysis
functional-analysis
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