Inﬁnite dimensional separable Hilbert space with orthonormal basis (weak convergence of $\frac{1}{N} \sum^{N^2}_{n=1} e_n$)
40820
Weak convergence in separable Hilbert spaces
23231
Convergence of $A_nT$ to $AT$ in operator norm for compact $T$
132595
$\sup_{0 \leq M \leq I_{\mathcal{H}_1}} \frac{\operatorname{Tr}[\rho M]}{\operatorname{Tr}[\sigma M]}$ satisfies Data Processing Inequality
76814
Convergence of tetration sequence.
95481
The set of self-adjoint operators over a Hilbert space doesn't form a lattice
143642
Does the sequence $(\sqrt{n} \cdot 1_{[0, 1/n]})_n$ converge weakly in $L^2$?
95928
Independence and orthogonality
108505
Matrix Concentration for Products- Orthogonality Property
116112
Examples of 'almost' vector spaces where unitary law fails
51313
Extension of linearly independent set to a basis in an infinite dimensional vector space
116632
Gram-Schmidt in Hilbert space?
65963
Dense sets in Hilbert space of square summable sequences?
144151
An orthonormal set cannot be a basis in an infinite dimension vector space?
6319
Finding an orthonormal basis for a matrix
66481
Convergence of characteristic functions to $1$ on a neighborhood of $0$ and weak convergence
119831
bounded operator $T$ is not compact then there exists an orthonormal sequence $e_n$ and $d>0$ such that $\|T(e_n)\|>d$ for all $n\in\Bbb{N}$?
134162
What is a basis for the space of $n\times n$ Hermitian matrices?