Reflexivity, Algebraic Reflexivity and Linear Interpolation
From MaRDI portal
Publication:3800597
DOI10.2307/2374503zbMath0654.47023OpenAlexW2321237671MaRDI QIDQ3800597
Publication date: 1988
Published in: American Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2307/2374503
Abstract operator algebras on Hilbert spaces (47L30) Invariant subspaces of linear operators (47A15) Abstract interpolation of topological vector spaces (46M35) Algebras of operators on Banach spaces and other topological linear spaces (47L10)
Related Items (65)
Reflexivity and hyperreflexivity of operator spaces. ⋮ Completely rank-nonincreasing linear maps ⋮ Reflexivity of sets of isometries on bounded variation function spaces ⋮ On topological reflexivity of the groups of \(^*\)-automorphisms and surjective isometries of \({\mathcal B}(H)\) ⋮ Hyper-Tauberian algebras and weak amenability of Figà-Talamanca-Herz algebras ⋮ When is an operator S an analytic function of an operator T ? ⋮ Extensions of normal operators ⋮ On strictly separating vectors and reflexivity ⋮ Local derivations of nest subalgebras of von Neumann algebras ⋮ Reflexivity of the group of surjective isometries on some Banach spaces ⋮ Algebraic reflexivity of isometries on spaces of continuously differentiable functions ⋮ Isometries and approximate local isometries between \(\mathrm{AC}^p (X)\)-spaces ⋮ Positive elementary operators compressing spectrum ⋮ Local isometries on subspaces and subalgebras of function spaces ⋮ Approximate local isometries of Banach algebras of differentiable functions ⋮ Asymptotic reflexivity ⋮ A remark on complete positivity of elementary operators ⋮ Bounded reflexivity of kernels of elementary operators ⋮ Reflexivity of finite-dimensional sets of operators ⋮ LOCAL PROPERTIES OF THE HOCHSCHILD COHOMOLOGY OF C*-ALGEBRAS ⋮ On maximal non-selfadjoint reflexive algebras associated with a double triangle lattice ⋮ Local derivations on the Lie algebra W (2, 2) ⋮ Local derivations of reflexive algebras ⋮ Kakutani's automorphism theorem for vector-valued bounded holomorphic functions ⋮ Strictly cyclic functionals, reflexivity, and hereditary reflexivity of operator algebras ⋮ Unnamed Item ⋮ Local derivations of reflexive algebras II ⋮ Bilocal \(^\ast\)-automorphisms of \(B(H)\) ⋮ Local derivations and local automorphisms. ⋮ General preservers of invariant subspace lattices ⋮ Additive maps preserving Jordan zero-products on nest algebras ⋮ Hyperreflexivity of bounded \(N\)-cocycle spaces of Banach algebras ⋮ Minimal locally linearly dependent spaces of operators ⋮ HYPERREFLEXIVITY CONSTANTS OF THE BOUNDED -COCYCLE SPACES OF GROUP ALGEBRAS AND C*-ALGEBRAS ⋮ Algebraic reflexivity of isometry groups of algebras of Lipschitz maps ⋮ Range-compatible homomorphisms on matrix spaces ⋮ On the Relative Reflexivity of Finitely Generated Modules of Operators ⋮ Rank one operators and bimodules of reflexive operator algebras in Banach spaces ⋮ Locally Finite-Dimensional Sets of Operators ⋮ Separating vectors and reflexivity ⋮ Homomorphisms between algebras of Lipschitz functions with the values in function algebras ⋮ Invertibility preserving linear maps and algebraic reflexivity of elementary operators of length one ⋮ Local linear dependence seen through duality. I ⋮ Algebraic reflexivity of isometry groups and automorphism groups of some operator structures ⋮ Hyperreflexivity of finite-dimensional subspaces ⋮ Additive maps preserving commutativity up to a factor on nest algebras ⋮ A General View of Reflexivity ⋮ Hyperreflexivity of the derivation space of some group algebras ⋮ A note on reflexivity ⋮ Local maps and the representation theory of operator algebras ⋮ Reflexive sets of operators ⋮ Local automorphisms of the sets of states and effects on a Hilbert space ⋮ On the minimal rank in non-reflexive operator spaces over finite fields ⋮ Reflexivity and hyperreflexivity of bounded $N$-cocycles from group algebras ⋮ On 2-local isometries on continuous vector-valued function spaces ⋮ On a pattern of reflexive operator spaces ⋮ Reflexivity of the automorphism and isometry groups of the suspension of \({\mathcal B}({\mathcal H})\) ⋮ Locally linearly dependent operators and reflexivity of operator spaces ⋮ Separating vectors for operators ⋮ Algebraic reflexivity of linear transformations ⋮ Minimal rank and reflexivity of operator spaces ⋮ Non-reflexivity of the derivation space from Banach algebras of analytic functions ⋮ Local Lie derivations of nest algebras ⋮ A reflexivity problem concerning the 𝐶*-algebra 𝐶(𝑋)⊗ℬ(ℋ) ⋮ Local derivations on certain CSL algebras
This page was built for publication: Reflexivity, Algebraic Reflexivity and Linear Interpolation
