separable problem
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Separable states — In quantum mechanics, separable quantum states are states without quantum entanglement. Separable pure states For simplicity, the following assumes all relevant state spaces are finite dimensional. First, consider separability for pure states.… … Wikipedia
Separable partial differential equation — A separable partial differential equation (PDE) is one that can be broken into a set of separate equations of lower dimensionality (fewer independent variables) by a method of separation of variables. This generally relies upon the problem having … Wikipedia
Distortion problem — In functional analysis, a branch of mathematics, the distortion problem is to determine by how much one can distort the unit sphere in a given Banach space using an equivalent norm. Specifically, a Banach space X is called λ distortable if there… … Wikipedia
Connes embedding problem — In von Neumann algebras, the Connes embedding problem or conjecture, due to Alain Connes, asks whether every type II1 factor on a separable Hilbert space can be embedded into the ultrapower of the hyperfinite type II1 factor by a free ultrafilter … Wikipedia
Invariant subspace problem — In the field of mathematics known as functional analysis, one of the most prominent open problems is the invariant subspace problem, sometimes optimistically known as the invariant subspace conjecture. It is the question whether the following… … Wikipedia
Euler's three-body problem — In physics and astronomy, Euler s three body problem is to solve for the motion of a particle that is acted upon by the gravitational field of two other point masses that are either fixed in space or move in circular coplanar orbits about their… … Wikipedia
Closure problem — A Closure problem is a problem in graph theory for finding a set of vertices in a directed graph such that there are no edges from the set to the rest of the graph. More specifically, the minimum closure problem asks for a set of this type with… … Wikipedia
Conjugacy problem — In abstract algebra, the conjugacy problem for a group G with a given presentation is the decision problem of determining, given two words x and y in G, whether or not they represent conjugate elements of G. That is, the problem is to determine… … Wikipedia
Naimark's problem — is a question in functional analysis. It asks whether every C* algebra that has only one irreducible representation up to unitary equivalence is isomorphic to the algebra of compact operators on some Hilbert space. The problem was solved in the… … Wikipedia
Suslin's problem — In mathematics, Suslin s problem is a question about totally ordered sets posed by Mikhail Yakovlevich Suslin in the early 1920s. [cite journal title=Problème 3 last= Souslin first=M. journal=Fundamenta Mathematicae volume=1 date=1920 pages=223]… … Wikipedia
Hilbert space — For the Hilbert space filling curve, see Hilbert curve. Hilbert spaces can be used to study the harmonics of vibrating strings. The mathematical concept of a Hilbert space, named after David Hilbert, generalizes the notion of Euclidean space. It… … Wikipedia
