The James constant of normalized norms on .
The JNR Property and the Borel Structure of a Banach Space
Research partially supported by a grant of Caja de Ahorros del Mediterraneo.In this paper we study the property of having a countable cover by sets of small local diameter (SLD for short). We show that in the context of Banach spaces (JNR property) it implies that the Banach space is Cech-analytic. We also prove that to have the JNR property, to be σ- fragmentable and to have the same Borel sets for the weak and the norm topologies, they all are topological invariants of the weak topology. Finally, by...
The Johnson-Lindenstrauss space.
The joint approximate spectrum of a finite system of elements of a C*-algebra
The Joly's construction: A common property of some generalized orthogonalities.
The Julia-Carathéodory theorem for distance-decreasing maps on infinite dimensional hyperbolic spaces
A classical Julia-Carathéodory theorem concerning radial limits of holomorphic maps in one dimension is extended to hyperbolic contractions of bounded symmetric domains in J*-algebras.
The Kadec-Pełczyński-Rosenthal subsequence splitting lemma for JBW*-triple preduals
Any bounded sequence in an L¹-space admits a subsequence which can be written as the sum of a sequence of pairwise disjoint elements and a sequence which forms a uniformly integrable or equiintegrable (equivalently, a relatively weakly compact) set. This is known as the Kadec-Pełczyński-Rosenthal subsequence splitting lemma and has been generalized to preduals of von Neuman algebras and of JBW*-algebras. In this note we generalize it to JBW*-triple preduals.
The kaehlerian structures and reproducing kernels
It is shown that one can define a Hilbert space structure over a kaehlerian manifold with global potential in a natural way.
The kernel theorem for Laplace ultradistributions
A kernel theorem for spaces of Laplace ultradistributions supported by an n-dimensional cone of product type is stated and proved.
The K-functional for rearrangement invariant spaces
The kh-socle of a commutative semisimple Banach algebra
Let be a commutative complex semisimple Banach algebra. Denote by the kernel of the hull of the socle of . In this work we give some new characterizations of this ideal in terms of minimal idempotents in . This allows us to show that a “result” from Riesz theory in commutative Banach algebras is not true.
The Kluvanek-Kantorovitz characterization of scalar operators in locally convex spaces.
The Kolmogorov Entropy For Quantum Systems Revisited.
The Kontorovich-Lebedev Transformation of Distributions.
The Krein-Šmulian theorem and its extension
The Kreps-Yan theorem for Banach ideal spaces.
The Kreps–Yan theorem for .
The K-theory of abelian subalgebras of AF algebras.
The K-theory of the triple-Toeplitz deformation of the complex projective plane
, i,j ∈ 1,2,3, i ≠ j, of C*-epimorphisms assuming that it satisfies the cocycle condition. Then we show how to compute the K-groups of the multi-pullback C*-algebra of such a family, and exemplify it in the case of the triple-Toeplitz deformation of ℂP².
The problem and degrees of non-reflexivity