-algebras of topological stable rank 1.
James boundaries and σ-fragmented selectors
We study the boundary structure for w*-compact subsets of dual Banach spaces. To be more precise, for a Banach space X, 0 < ϵ < 1 and a subset T of the dual space X* such that ⋃ B(t,ϵ): t ∈ T contains a James boundary for we study different kinds of conditions on T, besides T being countable, which ensure that . (SP) We analyze two different non-separable cases where the equality (SP) holds: (a) if is the duality mapping and there exists a σ-fragmented map f: X → X* such that B(f(x),ϵ)...
Jauch-Piron states on von Neumann algebras.
JB algebras with an exceptional ideal.
JB*-triples have Pelczynski's Property V.
John-Nirenberg lemmas for a doubling measure
We study, in the context of doubling metric measure spaces, a class of BMO type functions defined by John and Nirenberg. In particular, we present a new version of the Calderón-Zygmund decomposition in metric spaces and use it to prove the corresponding John-Nirenberg inequality.
John-Nirenberg type inequalities for the Morrey-Campanato spaces.
Johnson's projection, Kalton's property (M*), and M-ideals of compact operators
Let X and Y be Banach spaces. We give a “non-separable” proof of the Kalton-Werner-Lima-Oja theorem that the subspace (X,X) of compact operators forms an M-ideal in the space (X,X) of all continuous linear operators from X to X if and only if X has Kalton’s property (M*) and the metric compact approximation property. Our proof is a quick consequence of two main results. First, we describe how Johnson’s projection P on (X,Y)* applies to f ∈ (X,Y)* when f is represented via a Borel (with respect to...
Joint essential range
Joint spectra
Joint spectra and multiplicative functionals
Joint spectra of generators in topological algebras.
Joint spectra of the tensor product representation of the direct sum of two solvable Lie algebras [Book]
Jointly prescalar sets in Banach algebras
Jordan Algebras and Symmetric Siegel Domains in Banach Spaces.
Jordan Axioms for C*-Algebras.
Jordan *-derivation pairs and quadratic functionals on modules over *-rings.
Jordan homomorphisms in proper JCQ-triples.
Jordan polynomials can be analytically recognized
We prove that there exists a real or complex central simple associative algebra M with minimal one-sided ideals such that, for every non-Jordan associative polynomial p, a Jordan-algebra norm can be given on M in such a way that the action of p on M becomes discontinuous.
Jordan-Hahn decomposition of signed weights on Finite orthogonality spaces.