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15
Math.TechQA.Club
2026-03-26 04:52:23
83
Views
Version of Weyl's criterion for absolutely continuous spectrum
Published on
26 Mar 2026 - 4:52
#functional-analysis
#operator-theory
#hilbert-spaces
#spectral-theory
#self-adjoint-operators
85
Views
Is a orthogonal projection in a Hilbert space automatically selfadjoint?
Published on
26 Mar 2026 - 4:51
#functional-analysis
#hilbert-spaces
#orthogonality
#self-adjoint-operators
102
Views
Does $x_n \rightharpoonup 0$, where $\|x_n \| \leq 1$ imply $Ax_n\rightarrow 0$, when $A$ is a compact, self-adjoint projection?
Published on
26 Mar 2026 - 11:17
#functional-analysis
#hilbert-spaces
#weak-convergence
#compact-operators
#weak-topology
16
Views
Dense subspace for arbitrary powers of a positive operator
Published on
10 Mar 2026 - 0:30
#functional-analysis
#hilbert-spaces
#analytic-continuation
45
Views
Eigenvalues of a resriction of a compact operator
Published on
11 Apr 2026 - 4:17
#functional-analysis
#hilbert-spaces
#spectral-theory
#projection
#compact-operators
45
Views
sequential compactness of saddle-point lagrangians
Published on
11 Apr 2026 - 13:08
#functional-analysis
#hilbert-spaces
#compactness
#calculus-of-variations
#variational-analysis
34
Views
Orthogonal complement between two sets?
Published on
11 Apr 2026 - 21:12
#functional-analysis
#probability-theory
#hilbert-spaces
#stochastic-calculus
91
Views
Domain of adjoint of annihilation operator
Published on
11 Apr 2026 - 4:15
#hilbert-spaces
#unbounded-operators
89
Views
If $T$ is self-adjoint, then $T^2 + tI$ is bijective for any $t>0$
Published on
26 Mar 2026 - 6:30
#functional-analysis
#solution-verification
#hilbert-spaces
#self-adjoint-operators
97
Views
Compact operator in squence spaces $T(u) = \left(\sum_{k=1}^\infty \frac{u_k}{n+k}\right)_{n\in\mathbb{N}}$
Published on
14 Apr 2026 - 7:06
#sequences-and-series
#complex-analysis
#hilbert-spaces
#compact-operators
49
Views
Brezis' exercise 6.22.4: prove that $Q(T)$ is bijective
Published on
15 Apr 2026 - 7:29
#functional-analysis
#solution-verification
#hilbert-spaces
#spectral-theory
33
Views
Does bases of operators on two Hilbert spaces span the operators on the tensor product of the two spaces?
Published on
12 Apr 2026 - 17:27
#linear-algebra
#representation-theory
#hilbert-spaces
#tensor-products
238
Views
The vector space of square-integrable complex functions and the triangle inequality squared
Published on
16 Apr 2026 - 3:38
#complex-analysis
#vector-spaces
#hilbert-spaces
84
Views
A self-adjoint operator related to prime numbers?
Published on
26 Mar 2026 - 4:52
#functional-analysis
#number-theory
#prime-numbers
#hilbert-spaces
#self-adjoint-operators
78
Views
Inequality for inner product in Hilbert space $L^2([0, 2 \pi])$
Published on
16 Apr 2026 - 16:51
#real-analysis
#fourier-analysis
#hilbert-spaces
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