Newbetuts
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New posts in spectral-theory
Integral operator and it’s spectrum
functional-analysis
solution-verification
operator-theory
spectral-theory
Spectrum for a bounded linear operator and its adjoint on a Banach space are same.
functional-analysis
operator-theory
banach-spaces
spectral-theory
Question on charaterization of the parts of the spectrum of an operator.
functional-analysis
operator-theory
spectral-theory
Normal Operators: Numerical Range
functional-analysis
operator-theory
spectral-theory
Show that $T f(x) = \frac{1}{x^2}\int\limits_0^x t f(t) dt$ is not compact.
solution-verification
banach-spaces
spectral-theory
Ratio of largest eigenvalue to sum of eigenvalues -- where to read about it?
linear-algebra
matrices
eigenvalues-eigenvectors
applications
spectral-theory
How to understand the spectral decomposition geometrically?
linear-algebra
matrices
spectral-theory
matrix-decomposition
Find the spectrum of $(Ff)(x)=\int_{-\pi}^{\pi} (1 + \cos(x-y))f(y)dy$
functional-analysis
spectral-theory
Resolvent: Definition
functional-analysis
operator-theory
banach-spaces
spectral-theory
Spectral integral: reference request
integration
functional-analysis
reference-request
operator-algebras
spectral-theory
Why do we distinguish the continuous spectrum and the residual spectrum?
functional-analysis
operator-theory
spectral-theory
Spectrum of shift-operator
functional-analysis
operator-theory
spectral-theory
How to prove the spectrum of the Laplace operator?
functional-analysis
soft-question
sobolev-spaces
spectral-theory
Proposition 1.4 in Takesaki's book "Theory of operator algebra": about the spectral integral
integration
functional-analysis
operator-algebras
spectral-theory
von-neumann-algebras
Spectral decomposition of compact self-adjoint operator
functional-analysis
operator-algebras
spectral-theory
compact-operators
Space of linear, continuous, hyperbolic functions is open, dense in the set of invertible functions
functional-analysis
dynamical-systems
banach-spaces
spectral-theory
Spectral integral: verification of my conceptual understanding
functional-analysis
operator-algebras
spectral-theory
c-star-algebras
functional-calculus
Intuition on spectral theorem
linear-algebra
intuition
spectral-theory
diagonalization
Spectrum of self-adjoint operator on Hilbert space real
functional-analysis
hilbert-spaces
spectral-theory
Does an unbounded operator $T$ with non-empty spectrum have an unbounded spectrum?
functional-analysis
operator-theory
spectral-theory
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