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Hilbert-spaces
New post in Hilbert-spaces
What do mathematicians mean by "equipped"?
August 1st, 2022
vector-spaces
hilbert-spaces
terminology
notation
What is the difference between isometric and unitary operators on a Hilbert space?
August 1st, 2022
hilbert-spaces
inner-products
operator-theory
metric-spaces
Finding the adjoint of an operator
August 17th, 2022
functional-analysis
hilbert-spaces
Given two basis sets for a finite Hilbert space, does an unbiased vector exist?
February 15th, 2020
hilbert-spaces
probability
vector-spaces
How to interpret the adjoint?
August 1st, 2022
inner-products
fourier-analysis
linear-algebra
hilbert-spaces
Connections between metrics, norms and scalar products (for understanding e.g. Banach and Hilbert spaces)
April 28th, 2020
inner-products
functional-analysis
vector-spaces
hilbert-spaces
banach-spaces
What is "Bra" and "Ket" notation and how does it relate to Hilbert spaces?
August 1st, 2022
notation
mathematical-physics
hilbert-spaces
functional-analysis
linear-algebra
Showing that the Hilbert-Schmidt integral operator is compact.
August 1st, 2022
compact-operators
functional-analysis
proof-verification
hilbert-spaces
Definition of closed subspace in Hilbert space
August 1st, 2022
real-analysis
functional-analysis
hilbert-spaces
Bessels inequality proof
August 1st, 2022
inequality
linear-algebra
hilbert-spaces
functional-analysis
The space of sequences which are eventually zero in $l^2$ is not a Hilbert space.
April 21st, 2022
hilbert-spaces
functional-analysis
analysis
cauchy-sequences
limits
Dense range if a linear self-adjoint is injective.
November 6th, 2020
adjoint-operators
unbounded-operators
functional-analysis
hilbert-spaces
Can we have infinite-dimensional separable Hilbert spaces?
September 30th, 2020
hilbert-spaces
functional-analysis
Is this sum of convex and concave functions a convex function?
April 1st, 2020
convex-optimization
general-topology
functional-analysis
convex-analysis
hilbert-spaces
Orthogonal complement of a subspace in a Hilbert space
January 16th, 2020
functional-analysis
hilbert-spaces
Separable Hilbert space weak sequential compactness
August 22nd, 2020
functional-analysis
hilbert-spaces
Example of self-adjoint linear operator with pure point spectrum on an infinite-dimensional separable Hilbert space
July 11th, 2020
functional-analysis
hilbert-spaces
operator-theory
Showing the sum of orthogonal projections with orthogonal ranges is also an orthogonal projection
August 7th, 2020
hilbert-spaces
functional-analysis
Contexts For Bessel's Inequality?
August 1st, 2022
functional-analysis
hilbert-spaces
linear-algebra
inequality
Proof that every bounded linear operator between hilbert spaces has an adjoint.
August 1st, 2022
adjoint-operators
linear-transformations
functional-analysis
hilbert-spaces
Recognition of an orthonormal complete set in an Hilbert Space
August 5th, 2022
hilbert-spaces
Prove or disprove existence of a sequence converging weakly to $0$ in an infinite dim Hilbert space
August 18th, 2020
hilbert-spaces
functional-analysis
weak-convergence
Orthonormal basis for $L^2(\mathbb{R})$ by Hermite Polynomials
June 24th, 2020
banach-spaces
real-analysis
functional-analysis
hilbert-spaces
$l^p$ space not having inner product
August 1st, 2022
functional-analysis
hilbert-spaces
lp-spaces
inner-products
Difference between total orthonormal set and basis
August 1st, 2022
functional-analysis
hilbert-spaces
Why are inner product spaces only defined on $\Bbb R$ or $\Bbb C$?
August 1st, 2022
linear-algebra
vector-spaces
abstract-algebra
inner-products
hilbert-spaces
A operator is unitary if and only if it is a surjective isometry
September 8th, 2020
operator-theory
hilbert-spaces
functional-analysis
Orthonormal basis for Sobolev Spaces
August 1st, 2022
orthonormal
hilbert-spaces
sobolev-spaces
functional-analysis
real-analysis
Show that the trace class operators on a Hilbert space form an ideal
August 1st, 2022
trace
functional-analysis
hilbert-spaces
ideals
Composition of two orthogonal projections
January 7th, 2020
hilbert-spaces
linear-algebra
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