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Longer titles found: Invariant subspace problem (view), Controlled invariant subspace (view), Lomonosov's invariant subspace theorem (view)

searching for Invariant subspace 30 found (81 total)

alternate case: invariant subspace

Kadison transitivity theorem (371 words) [view diff] exact match in snippet view article find links to article

irreducible representations of C*-algebras, the only non-zero linear invariant subspace is the whole space. The theorem, proved by Richard Kadison, was surprising

Carl Pearcy (230 words) [view diff] exact match in snippet view article find links to article

contains more than 150 papers, and his research has concerned the invariant subspace problem and the theory of dual algebras. Pearcy was born in Beaumont

Irreducible representation (2,824 words) [view diff] exact match in snippet view article find links to article

{\displaystyle \rho } to the general linear group of a G {\displaystyle G} -invariant subspace W ⊂ V {\displaystyle W\subset V} is known as a subrepresentation.

Aleksandrov–Clark measure (514 words) [view diff] exact match in snippet view article find links to article

H^{2}(\mathbb {D} ,\mathbb {C} ).} By virtue of Beurling's theorem, any shift-invariant subspace of this space is of the form θ H 2 ( D , C ) , {\displaystyle \theta

Haboush's theorem (1,094 words) [view diff] exact match in snippet view article find links to article

transforming according to λ. So we can assume that V is contained in the T-invariant subspace A(G)λ of A(G). The representation A(G)λ is an increasing union of

Weyl's theorem on complete reducibility (2,465 words) [view diff] exact match in snippet view article find links to article

kernel is an invariant subspace, since C V {\displaystyle C_{V}} is a self-intertwiner. The kernel is then a one-dimensional invariant subspace, whose intersection

Binary Golay code (2,151 words) [view diff] exact match in snippet view article find links to article

W. There is a single word of weight 24, which is a 1-dimensional invariant subspace. M 24 {\displaystyle M_{24}} therefore has an 11-dimensional irreducible

Burau representation (1,525 words) [view diff] exact match in snippet view article find links to article

the invariant subspace of H1(Dn) (under the action of Bn) is primitive and infinite cyclic. Let π : H1(Dn) → Z be the projection onto this invariant subspace

Jonathan Partington (297 words) [view diff] no match in snippet view article find links to article

Partington, Jonathan R. (18 August 2011). Modern Approaches to the Invariant-Subspace Problem. Cambridge University Press. doi:10.1017/cbo9780511862434

Lie algebra representation (4,312 words) [view diff] exact match in snippet view article find links to article

if every invariant subspace of V has an invariant complement. (That is, if W is an invariant subspace, then there is another invariant subspace P such that

Torus action (647 words) [view diff] exact match in snippet view article find links to article

) v } {\displaystyle V_{\chi }=\{v\in V|t\cdot v=\chi (t)v\}} , T-invariant subspace called the weight subspace of weight χ {\displaystyle \chi } . The

Synchronization of chaos (1,546 words) [view diff] exact match in snippet view article find links to article

The regime x ( t ) = y ( t ) {\displaystyle x(t)=y(t)} defines an invariant subspace of the coupled system, if this subspace x ( t ) = y ( t ) {\displaystyle

Reynolds operator (996 words) [view diff] exact match in snippet view article find links to article

operator. Reynolds operators are often given by projecting onto an invariant subspace of a group action. The "Reynolds operator" considered by Reynolds

Jan Camiel Willems (594 words) [view diff] exact match in snippet view article find links to article

theory of linear systems, where he introduced the notion of almost invariant subspace. Since the 1990s, he has devoted his interest to the development of

Representation theory of semisimple Lie algebras (4,247 words) [view diff] exact match in snippet view article find links to article

dual of the standard representation, and extracts an irreducible invariant subspace. Although the representations cannot be described explicitly, there

Hakan Hedenmalm (654 words) [view diff] exact match in snippet view article find links to article

Journal für die reine und angewandte Mathematik 422 (1991), 45-68. An invariant subspace of the Bergman space having the codimension two property. Journal

Complexification (2,069 words) [view diff] exact match in snippet view article find links to article

(z_{1},\ldots ,z_{n})=({\bar {z}}_{1},\ldots ,{\bar {z}}_{n})} the invariant subspace V is just the real subspace Rn. Given a real linear transformation

Spectral submanifold (1,006 words) [view diff] exact match in snippet view article find links to article

{\displaystyle A} . Then, the eigenspace E {\displaystyle E} is an invariant subspace of the linearized system d x d t = A x , x ∈ R n . {\displaystyle

Representation theory of finite groups (21,294 words) [view diff] exact match in snippet view article find links to article

{\displaystyle G.} Let W {\displaystyle W} be a G {\displaystyle G} -invariant subspace of V , {\displaystyle V,} that is, ρ ( s ) w ∈ W {\displaystyle \rho

Louis de Branges de Bourcia (1,578 words) [view diff] exact match in snippet view article find links to article

some false (or inaccurate) results, including a claimed proof of the invariant subspace conjecture in 1964 (incidentally, in December 2008 he published a

Peter–Weyl theorem (2,480 words) [view diff] exact match in snippet view article find links to article

topological group, which we assume Hausdorff. For any finite-dimensional G-invariant subspace V in L2(G), where G acts on the left, we consider the image of G in

Isospin (3,601 words) [view diff] exact match in snippet view article find links to article

irreducible representations of the Lie algebra SU(2). In this context, an invariant subspace is spanned by basis vectors which correspond to particles in a family

Rotation (4,090 words) [view diff] exact match in snippet view article find links to article

{\displaystyle v} and v ¯ {\displaystyle {\bar {v}}} , which is an invariant subspace under the application of A. Therefore, they span an invariant plane

Tensor product of representations (2,941 words) [view diff] exact match in snippet view article find links to article

copies of the dual of the standard representation, and then takes the invariant subspace generated by the tensor product of the highest weight vectors. In

Jordan–Chevalley decomposition (5,909 words) [view diff] exact match in snippet view article find links to article

S {\displaystyle S} -invariant subspace of V {\displaystyle V} which has no complement S {\displaystyle S} -invariant subspace, contrary to the assumption

Representation of a Lie group (5,246 words) [view diff] exact match in snippet view article find links to article

:G\rightarrow \operatorname {GL} (V)} , we say that a subspace W of V is an invariant subspace if Π ( g ) w ∈ W {\displaystyle \Pi (g)w\in W} for all g ∈ G {\displaystyle

Joshua Vogelstein (1,442 words) [view diff] case mismatch in snippet view article find links to article

(2021). "Inference for Multiple Heterogeneous Networks with a Common Invariant Subspace". Journal of Machine Learning Research. 22 (142): 1–49. arXiv:1906

W-algebra (5,488 words) [view diff] exact match in snippet view article find links to article

algebra structure from U ( g ) {\displaystyle U({\mathfrak {g}})} . The invariant subspace ( U ( g ) / I ) ad ( m ) {\displaystyle (U({\mathfrak

Tensor operator (9,007 words) [view diff] exact match in snippet view article find links to article

by linear combinations of the rank two tensor components form an invariant subspace, ie. the subspace does not change under rotation since the transformed

Oscillator representation (21,532 words) [view diff] exact match in snippet view article find links to article

generated by a C∞ vector for the whole group. It follows that any closed invariant subspace is generated by the algebraic direct sum of eigenspaces it contains