mathematics known as functional analysis, the invariant subspace problem is a partially unresolved problem asking whether every bounded operator on a complex...

In mathematics, an invariant subspace of a linear mapping T : V → V i.e. from some vector space V to itself, is a subspace W of V that is preserved by...

an invariant subspace problem of K. T. Smith and P. R. Halmos, Pacific Journal of Mathematics 16:3 (1966) 421-431 P. Halmos, Invariant subspaces for...

problem and the approximation problem and later the invariant subspace problem for Banach spaces. In solving these problems, Enflo developed new techniques...

enough invariant subspaces to characterize it. Formally, A is reflexive if it is equal to the algebra of bounded operators which leave invariant each subspace...

counterexample to the invariant subspace problem (and even the invariant subset problem) in the class of Banach spaces. The problem, whether such an operator...

multivalued functions Invariant subspace problem – does every bounded operator on a complex Banach space send some non-trivial closed subspace to itself? Kung–Traub...

extraordinarily complicated manuscripts (like the paper of Per Enflo on the invariant subspace problem). The Bombieri–Vinogradov theorem is one of the major applications...

his work in the 1980s on the invariant subspace problem, where he constructed operators with only trivial invariant subspaces on particular Banach spaces...

the invariant subspace problem, which was described by Walter Rudin in his classical book on Functional Analysis as "Lomonosov's spectacular invariant subspace...

mathematics, in particular in algebraic topology, the Hopf invariant is a homotopy invariant of certain maps between n-spheres. In 1931 Heinz Hopf used...

space has a proper invariant subspace. Many special cases of this invariant subspace problem have already been proven. General Banach spaces are more complicated...

existence of proper invariant subspaces for completely continuous operators in a Hilbert space while working on the invariant subspace problem. With I. J. Schoenberg...

then the line through 0 and v is an invariant set under T, in which case the eigenvectors span an invariant subspace which is stable under T. When T is...

mathematics, specifically in control theory, subspace identification (SID) aims at identifying linear time invariant (LTI) state space models from input-output...

which proves the invariant subspace claim. In fact, one can conclude something stronger. The range of EB is actually a reducing subspace of A, i.e. its...

algebra, the order-r Krylov subspace generated by an n-by-n matrix A and a vector b of dimension n is the linear subspace spanned by the images of b under...

dissertation Autour du probleme du sous-espace invariant et theorie des algebres duales on the invariant subspace problem supervised by Bernard Gustave Chevreau...

Introduction to Boolean Algebras, Springer. Crinkled arc Commutator subspace Invariant subspace problem Naive set theory Criticism of non-standard analysis The Martians...

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,...

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

his work was related to the invariant subspace problem, the still-unsolved problem of the existence of invariant subspaces for bounded linear operators...

invariants of any finite set of polyhedra forms a finite-dimensional subspace of the infinite-dimensional vector space in which the Dehn invariants of...

operator on K from an operator on the whole Hilbert space. If K is an invariant subspace for T, then the compression of T to K is the restricted operator K→K...

mathematics, a topological property or topological invariant is a property of a topological space that is invariant under homeomorphisms. Alternatively, a topological...

that are not distinguishable by only measuring the outputs. For time-invariant linear systems in the state space representation, there are convenient...

With this action it is natural to consider the subspace of all polynomial functions which are invariant under this group action, in other words the set...

In mathematics, an eigenplane is a two-dimensional invariant subspace in a given vector space. By analogy with the term eigenvector for a vector which...

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...

-invariant continuous linear functional defined on a vector subspace of a normed space X {\displaystyle X} has a Γ {\displaystyle \Gamma } -invariant Hahn–Banach...