Results 1 to 10 of about 233 (39)
Invariant linear manifolds for CSL-algebras and nest algebras [PDF]
Proceedings of the American Mathematical Society, 2000 Every invariant linear manifold for a CSL-algebra, Alg L \operatorname {Alg} \mathcal {L} , is a closed subspace if, and only if, each non-zero projection in L \mathcal {L} is generated by finitely many atoms associated with the projection lattice. When
openaire +2 more sources
Spectral synthesis and masa-bimodules [PDF]
, 2002 Generalizing a result of Arveson on finite width CSL algebras, we prove that finite width masa-bimodules satisfy spectral synthesis. Introducing a new class of masa-bimodules, we show that there exists a non-synthetic masa-bimodule, such that the maximal
Todorov, I. G.
core +1 more source
Towards Light‐Weight Probabilistic Model Checking
Journal of Applied Mathematics, Volume 2014, Issue 1, 2014., 2014 Model checking has been extensively used to verify various systems. However, this usually has been done by experts who have a good understanding of model checking and who are familiar with the syntax of both modelling and property specification languages.
Savas Konur, Guiming Luo
wiley +1 more source
Spatiality of Derivations of Operator Algebras in Banach Spaces
Abstract and Applied Analysis, Volume 2011, Issue 1, 2011., 2011 Suppose that 𝒜 is a transitive subalgebra of B(X) and its norm closure 𝒜¯ contains a nonzero minimal left ideal ℐ. It is shown that if δ is a bounded reflexive transitive derivation from 𝒜 into B(X), then δ is spatial and implemented uniquely; that is, there exists T ∈ B(X) such that δ(A) = TA − AT for each A ∈ 𝒜, and the implementation T of δ is ...
Quanyuan Chen +2 more
wiley +1 more source
Tensor products of subspace lattices and rank one density
, 2012 We show that, if $M$ is a subspace lattice with the property that the rank one subspace of its operator algebra is weak* dense, $L$ is a commutative subspace lattice and $P$ is the lattice of all projections on a separable infinite dimensional Hilbert ...
A. Hopenwasser +16 more
core +1 more source
Reflexivity of the translation-dilation algebras on L^2(R)
, 2003 The hyperbolic algebra A_h, studied recently by Katavolos and Power, is the weak star closed operator algebra on L^2(R) generated by H^\infty(R), as multiplication operators, and by the dilation operators V_t, t \geq 0, given by V_t f(x) = e^{t/2} f(e^t ...
Davidson K. R. +4 more
core +1 more source
Compact solutions to an operator equation in nest and CSL algebras
, 2019 Given a nest algebra \(\text{Alg }N\) of operators in a Hilbert space \(H\), the authors characterize the pairs \(X\), \(Y\) of operators on \(H\) for which there exists a compact element \(A\) in \(\text{Alg }N\) which satisfies the equation \(AX= Y\). They solve the same interpolation problem for a system of equations \(Ax_ i= y_ i\) \((i= 1,\dots, n)
Power, S. C. +2 more
openaire +1 more source
Automatic closure of invariant linear manifolds for operator algebras [PDF]
, 2000 Kadison's transitivity theorem implies that, for irreducible representations of C*-algebras, every invariant linear manifold is closed. It is known that CSL algebras have this propery if, and only if, the lattice is hyperatomic (every projection is ...
Donsig, Allan +2 more
core +2 more sources
Limit algebras and integer-valued cocycles, revisited
, 2016 A triangular limit algebra A is isometrically isomorphic to the tensor algebra of a C*-correspondence if and only if its fundamental relation R(A) is a tree admitting a $Z^+_0$-valued continuous and coherent cocycle.
Katsoulis, Elias, Ramsey, Chris
core +1 more source
1-Hyperreflexivity and Complete Hyperreflexivity
, 2005 The subspaces and subalgebras of B(H) which are hyperreflexive with constant 1 are completely classified. It is shown that there are 1-hyperreflexive subspaces for which the complete hyperreflexivity constant is strictly greater than 1. The constants for
Arveson +25 more
core +3 more sources