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15
Math.TechQA.Club
2026-04-11 11:14:19
117
Views
Lim inf with norm and weak convergence[follow up]
Published on
11 Apr 2026 - 11:14
#functional-analysis
#hilbert-spaces
#weak-convergence
#semicontinuous-functions
35
Views
Assuming the violation of unitarity, what is logically possible?
Published on
25 Mar 2026 - 20:41
#general-topology
#linear-transformations
#hilbert-spaces
#unitary-matrices
106
Views
Brezis' Exercise 5.29.2: a lemma of Grothendieck
Published on
07 Apr 2026 - 12:57
#functional-analysis
#solution-verification
#hilbert-spaces
#banach-spaces
#lp-spaces
91
Views
Question about dense property in tensor product of Hilbert space
Published on
12 Apr 2026 - 20:14
#functional-analysis
#hilbert-spaces
#tensor-products
49
Views
Brezis' Exercise 5.30.4: an orthonormal basis of $L^2(0, 1)$
Published on
06 Apr 2026 - 6:18
#functional-analysis
#solution-verification
#hilbert-spaces
#lp-spaces
#alternative-proof
77
Views
Every finite rank operator on a Hilbert space can be written $\sum_{j=1}^n s_j|u_j\rangle\langle v_j|$ with $\{u_j\},\{v_j\}$ orthonormal
Published on
13 Apr 2026 - 20:00
#functional-analysis
#operator-theory
#hilbert-spaces
#operator-algebras
32
Views
Moving a constant operator inside an operator valued integral: Why $A\int_{X}f(t)B(t)dt=\int_Xf(t)AB(t)dt, f:X\to\mathbb{C},A,B$ linear operators
Published on
12 Apr 2026 - 17:18
#functional-analysis
#measure-theory
#linear-transformations
#operator-theory
#hilbert-spaces
69
Views
How to prove that $a(u,v)=\int_0^1 u'v' dx$ is coercive
Published on
26 Mar 2026 - 23:11
#normed-spaces
#hilbert-spaces
#sobolev-spaces
#inner-products
#finite-element-method
222
Views
Weak equality equation with a negative fractional Sobolev space.
Published on
25 Mar 2026 - 15:59
#partial-differential-equations
#hilbert-spaces
#sobolev-spaces
#trace
#fractional-sobolev-spaces
36
Views
Complete orthonomal systems on function spaces
Published on
11 Apr 2026 - 16:30
#hilbert-spaces
#tensor-products
109
Views
Hausdorff Distance Between Orthogonal Complements
Published on
25 Mar 2026 - 11:00
#hilbert-spaces
#orthogonality
#hausdorff-distance
69
Views
Operator theory: nonnegative operator $Q$ less than an orthogonal projection $P$ satisfies $PQ=QP$
Published on
14 Apr 2026 - 14:18
#functional-analysis
#operator-theory
#hilbert-spaces
#quantum-mechanics
#projection
65
Views
Using Hilbert projection theorem to prove properties of projection map
Published on
12 Apr 2026 - 14:09
#functional-analysis
#hilbert-spaces
#orthogonality
#projection
50
Views
Norm of a Self-adjoint operator with respect to commutating projections
Published on
12 Apr 2026 - 2:24
#functional-analysis
#normed-spaces
#operator-theory
#hilbert-spaces
25
Views
Why is $\left<u-P_mu,u_j\right>_V=0$ for $\left<.,.\right>_V=a(.,.) + t\left<.,.\right>_H$ and $a:V\times V\to\mathbb{R}$ a symmetric bilinear form
Published on
27 Mar 2026 - 2:36
#functional-analysis
#hilbert-spaces
#inner-products
#dual-spaces
#bilinear-form
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