X-Nico

Born–Oppenheimer approximation

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Unitary equivalence

For unitary equivalence of bounded operators in Hilbert space, see self-adjoint operator.

Kuiper's theorem

In mathematics, Kuiper's theorem (after Nicolaas Kuiper) is a result on the topology of operators on an infinite-dimensional, complex Hilbert space H.

Normal matrix

The concept of normal matrices can be extended to normal operators on infinite dimensional Hilbert spaces and to normal elements in C*-algebras.

Richard Davis Anderson

Much of his early work focused on proofs surrounding Hilbert space and Hilbert cubes.

Vitali covering lemma

The first result in this direction was given by David Preiss in 1979: there exists a Gaussian measure γ on an (infinite-dimensional) separable Hilbert space H so that the Vitali covering theorem fails for (H, Borel(H), γ).

see also

Connes embedding problem

In von Neumann algebras, the Connes embedding problem or conjecture, due to Alain Connes, asks whether every free ultrafilter.

Hilbert–Schmidt operator

They also form a Hilbert space, which can be shown to be naturally isometrically isomorphic to the tensor product of Hilbert spaces

Kuiper's theorem

The result on the group of bounded operators was proved by the Dutch mathematician Nicolaas Kuiper, for the case of a separable Hilbert space; the restriction of separability was later lifted.

Moyal product

Every correspondence prescription between phase space and Hilbert space, however, induces its own proper ★-product.

Squeezed

Squeezed coherent state, in physics, a state of the quantum mechanical Hilbert space