New posts in Operator Theory

Proving that operator is linear if it is unitary and surjective

Is "Convolution operator" well-defined and injective?

Homotopy between idempotents of small difference

Higher derivatives of the map $I:T \mapsto T^{-1}$, where $T \in \mathcal B(X)$.

inequality for positive contraction operator

Is there a coordinate-free definition of a differential operator?

Umbral calculus - eigenfunctions of operator

On the Equivalent Norms for Subspaces

Calculate the operator norm of $A: L^2[0,1] \to L^2[0,1]$ defined by $(Af)(x):=i\int_0^x f(t)\,dt-\frac{i}{2} \int_0^1 f(t) \,dt$

If $T:L^p[0,1] \to L^p[0,1]$ bounded for $1 < p < \infty$ with continuous image, then it's compact