Isoperimetry, Logarithmic Sobolev Inequalities on the Discrete Cube, and Margulies' Graph Connectivity Theorem.
Iterated Means of Convex Bodies.
Iterated Stieltjes transform of generalized functions.
Iterates and the boundary behavior of the Berezin transform
Let be a measure on a domain in such that the Bergman space of holomorphic functions in possesses a reproducing kernel and . The Berezin transform associated to is the integral...
Iterating the Pimsner construction.
Iteration of Analytic Functions of Operators.
Iteration of ultraproducts of locally convex spaces.
Iterations converging to distinct solutions of some nonlinear operator equations in Banach space.
Iterations of Holomorphic Maps of Infinite Dimensional Homogeneous Domains.
Iterative processes and open mapping theorems
-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