Tangent cones, starshape and convexity.
Tangent segments in Minkowski planes.
Tauberian operators on spaces
We characterize tauberian operators in terms of the images of disjoint sequences and in terms of the image of the dyadic tree in . As applications, we show that the class of tauberian operators is stable under small norm perturbations and that its perturbation class coincides with the class of all weakly precompact operators. Moreover, we prove that the second conjugate of a tauberian operator is also tauberian, and the induced operator is an isomorphism into. Also, we show that embeds...
Tauberian operators on spaces of integrable functions.
Techniques probabilistes pour l'étude de problèmes d'isomorphismes entre espaces de Banach
Tensor product in symmetric function spaces.
A concept of the multiplicator of symmetric function space concerning to projective tensor product is introduced and studied. This allows us to obtain some concrete results. In particular, the well-know theorem of R. O'Neil about boundedness of tensor product in the Lorentz spaces Lpq is discussed.
Tensor product of stable measures in Banach spaces of stable type
Tensor Products of Banach Lattices.
Tensor products of Banach lattices with Applications to the local structure of Banach lattices and spaces of absolutely summing operators
Tensor products of non-Archimedean weighted spaces of continuous functions.
Tensor Sequences and Inductive Limits with Local Partition of Unity.
Terminal subsets of convex sets in finite-dimensional real normed spaces
The almost Daugavet property and translation-invariant subspaces
Let G be a metrizable, compact abelian group and let Λ be a subset of its dual group Ĝ. We show that has the almost Daugavet property if and only if Λ is an infinite set, and that has the almost Daugavet property if and only if Λ is not a Λ(1) set.
The almost lattice isometric copies of in Banach lattices
In this paper it is shown that if a Banach lattice contains a copy of , then it contains an almost lattice isometric copy of . The above result is a lattice version of the well-known result of James concerning the almost isometric copies of in Banach spaces.
The approximation of continuous linear functionals.
The approximation property for a pair of Banach spaces.
The approximation property of order (p,q) in Banach spaces.
The approximation property of some vector valued Sobolev-Slobodeckij spaces.
The Ascoli property for function spaces and the weak topology of Banach and Fréchet spaces
Following Banakh and Gabriyelyan (2016) we say that a Tychonoff space X is an Ascoli space if every compact subset of is evenly continuous; this notion is closely related to the classical Ascoli theorem. Every -space, hence any k-space, is Ascoli. Let X be a metrizable space. We prove that the space is Ascoli iff is a -space iff X is locally compact. Moreover, endowed with the weak topology is Ascoli iff X is countable and discrete. Using some basic concepts from probability theory and...
The associated tensor norm to -absolutely summing operators on -spaces
We give an explicit description of a tensor norm equivalent on to the associated tensor norm to the ideal of -absolutely summing operators. As a consequence, we describe a tensor norm on the class of Banach spaces which is equivalent to the left projective tensor norm associated to .