New posts in operator-theory

generalized functions & operators

Every linear operator $T:X \to Y$ on a finite-dimensional normed space is bounded

Self adjoint operators and trace class property

Examples of bounded linear operators with range not closed

If $(I-T)^{-1}$ exists, can it always be written in a series representation?

Positive contraction operator on Hilbert space

$(a\otimes b)^z = a^z \otimes b^z$ for elements in a $C^*$-algebra and $z\in \mathbb{C}$.

Finding result of composing operations many times

Trace norm of a triangular matrix with only ones above the diagonal

Why is such an operator continuous?

$T$ surjective iff $T^*$ injective in infinite-dimensional Hilbert space?

Operator topologies on $L^{\infty}(X,\mu )$

Hilbert's Inequality

‎If ‎‎$‎X$ is an infinite-dimensional Banach space and ‎‎$‎‎u‎\in ‎B(X)‎$ ,then $\bigcap_{v\in K(X)}\sigma(u+v) =\cdots$

On Hilbert-Schmidt integral operators

Essential Selfadjointness of Quantum Harmonic Oscillator Hamiltonian

Hellinger-Toeplitz theorem use principle of uniform boundedness [duplicate]

Example of a Bounded Linear Operator with Unbounded Spectrum.

When does convergence in range imply convergence of arguments?

Importance of Toeplitz operators?