Let Y be a Banach space that has no finite cotype and p a real number satisfying 1≤p<∞. We prove that a set ℳ⊂Πp(X,Y) is uniformly dominated if and only if there exists a constant C>0 such that, for every finite set {(xi,Ti):i=1,…,n}⊂X×ℳ, there is an operator T∈Πp(X,Y) satisfying πp(T)≤C and ‖Tixi‖≤‖Txi‖ for i=1,…,n
AbstractCriteria for strict monotonicity, lower local uniform monotonicity, upper local uniform mono...
[EN] We provide a new separation-based proof of the domination theorem for (q, 1)-summing operators....
Let E be a Banach space with an 1-unconditional basis. In this paper, we introduce the notions of E-...
Let Y be a Banach space that has not finite cotype and p be a real number satisfying 1 ≤ p < ∞. W...
Let X and Y be Banach spaces. A set of 1-summing operators from X into Y is said to be uniformly su...
Let X and Y be Banach spaces. A set of 1-summing operators from X into Y is said to be uniformly su...
Let X and Y be Banach spaces. A set ℳ of 1-summing operators from X into Y is said to be uniformly ...
Let X be a completely regular Hausdorff space, E and F be Banach spaces. Let Cb(X;E) be the space of...
Let X and Y be Banach spaces. A set ℳ of 1-summing operators from X into Y is said to be uniformly s...
Abstract. Precise conditions for a subset A of a Banach space X are known in order that pointwise bo...
We prove a general sparse domination theorem in a space of homogeneous type, in which a vector-value...
Precise conditions for a subset A of a Banach space X are known in order that pointwise bounded on A...
AbstractLet φ: [0, ∞) → [0, ∞) be a continuous subadditive strictly increasing function and φ(0) = 0...
A mapping α from a normed space X into itself is called a Banach operator if there is a constant k s...
In this paper we will give a characterization of 1-absolutely summing operators using μ-approximate ...
AbstractCriteria for strict monotonicity, lower local uniform monotonicity, upper local uniform mono...
[EN] We provide a new separation-based proof of the domination theorem for (q, 1)-summing operators....
Let E be a Banach space with an 1-unconditional basis. In this paper, we introduce the notions of E-...
Let Y be a Banach space that has not finite cotype and p be a real number satisfying 1 ≤ p < ∞. W...
Let X and Y be Banach spaces. A set of 1-summing operators from X into Y is said to be uniformly su...
Let X and Y be Banach spaces. A set of 1-summing operators from X into Y is said to be uniformly su...
Let X and Y be Banach spaces. A set ℳ of 1-summing operators from X into Y is said to be uniformly ...
Let X be a completely regular Hausdorff space, E and F be Banach spaces. Let Cb(X;E) be the space of...
Let X and Y be Banach spaces. A set ℳ of 1-summing operators from X into Y is said to be uniformly s...
Abstract. Precise conditions for a subset A of a Banach space X are known in order that pointwise bo...
We prove a general sparse domination theorem in a space of homogeneous type, in which a vector-value...
Precise conditions for a subset A of a Banach space X are known in order that pointwise bounded on A...
AbstractLet φ: [0, ∞) → [0, ∞) be a continuous subadditive strictly increasing function and φ(0) = 0...
A mapping α from a normed space X into itself is called a Banach operator if there is a constant k s...
In this paper we will give a characterization of 1-absolutely summing operators using μ-approximate ...
AbstractCriteria for strict monotonicity, lower local uniform monotonicity, upper local uniform mono...
[EN] We provide a new separation-based proof of the domination theorem for (q, 1)-summing operators....
Let E be a Banach space with an 1-unconditional basis. In this paper, we introduce the notions of E-...
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