New posts in hilbert-spaces

Is self-adjointness really a property of an operator, or of an operator and an inner product?

The spectral radius of normal operator

Generalized Fourier series in $L^2$ that do not converge pointwise a.e.

Basic question on dual spaces and adjoint in Hilbert spaces

An infinite series expansion in terms of the polylogarithm function

Surjectivity of the Gauss map in Hilbert spaces

Is the unit sphere in a preHilbert space a total set?

Are these sequences total sequences?

Prove that if $A$ is a normal operator on an complex separable hilbert space $H$ and $A^{3} = A^{4}$ then $A$ is self adjoint

Bounded sequence in Hilbert space contains weak convergent subsequence

Intuition behind the direct integral of a family of Hilbert spaces

Commuting operators and polar decomposition

Quantization of angular momentum: is Dirac's proof wrong?

Isomorphic Hilbert spaces

Can Fourier transform be seen as a decomposition over a basis in a space of tempered distributions

Reproducing Kernel Hilbert Space is dense?

A few questions about the Hilbert triple/Gelfand triple

Definition of resolvent set

Nonseparable $L^2$ space built on a sigma finite measure space

Sow that if $\mathcal{H}$ is not finite-dimensional, then there exists a sequence in $B$ that does not have a convergent subsequence.