New posts in spectral-theory

Why isn't every element of the spectrum an eigenvalue? (Where is the error in my proof?)

Spectrum of a product of operators on a Banach space

Motivation of Adjoints and Normal Operators

Spectrum $\sigma(a)$ taken within the unitisation of a $C^*$-algebra

why is the spectrum of the schrödinger operator discrete?

Singular-value inequalities

The spectrum of a product of operators

Dimensionality in quantum mechanics

How to use the Spectral Theorem to Derive $L^{2}(\mathbb{R})$ Fourier Transform Theory

Extension of the field of a matrix vector space

Is $\int |x\rangle \langle x|dx$ Mathematical?

An approximate eigenvalue for $ T \in B(X) $.

Spectral decomposition of $-\Delta$ the Laplacian

A hole in the distribution of eigenvalues - is this real?

Spectrum of Multiplication Operator $T$ in $C[0,1]$

Spectral radius inequality

Find the spectrum of the linear operator $T: \ell^2 \to \ell^2$ defined by $Tx=(\theta x_{n-1} +(1-\theta)x_{n+1})_{n\in \mathbb{Z}}$

If $\lambda \in \partial \sigma (T)$ then $T - \lambda$ cannot be surjective.

What is a resolvent of an operator?

Spectral representation intuitive explanation