Add to ORKGLet X be a Banach space, V ⊂ X is its subspace and U ⊂ X∗. Given x ∈ X, we are looking for v ∈ V such that u(v) = u(x) for all u ∈ U and ‖v ‖ ≤ M‖x‖. In this article, we study the restrictions placed on the constant M as a function of X, V, and U. 1
AbstractIt is shown that for the separable dual X∗ of a Banach space X, if X∗ has the weak approxima...
AbstractLet 1 < p ⩽ 2 ⩽ q < ∞ and X be either a Banach lattice which is p-convex and q-concave or a ...
Definition 1. X is a linear vector space, if one has the operations (x, y) → x+y and (λ, x) → λx. We...
Let X be a Banach space, V ⊂ X is its subspace and U ⊂ X∗. Given x ∈ X, we are looking for v ∈ V suc...
Let X be a Banach space, V⊂X is its subspace and U⊂X*. Given x∈X, we are looking for v∈V such that u...
Abstract. Precise conditions for a subset A of a Banach space X are known in order that pointwise bo...
We give a new upper bound of the optimal retraction constant for innite dimensional cut invariant su...
SIGLEAvailable from British Library Document Supply Centre- DSC:D43276/82 / BLDSC - British Library ...
AbstractLet ℓ∞ be the space of all bounded sequences x=(x1,x2,…) with the norm‖x‖ℓ∞=supn|xn| and let...
Precise conditions for a subset A of a Banach space X are known in order that pointwise bounded on A...
AbstractIt is shown that every separable Banach space X containing a subspace isomorphic to c0 has a...
Many of the fundamental research problems in the geometry of normed linear spaces can be loosely phr...
Abstract. A mapping α from a normed space X into itself is called a Banach operator if there is a co...
Let A be a linear operator in a Banach space X. We define a subspace of X and a norm such that the p...
A mapping α from a normed space X into itself is called a Banach operator if there is a constant k s...
AbstractIt is shown that for the separable dual X∗ of a Banach space X, if X∗ has the weak approxima...
AbstractLet 1 < p ⩽ 2 ⩽ q < ∞ and X be either a Banach lattice which is p-convex and q-concave or a ...
Definition 1. X is a linear vector space, if one has the operations (x, y) → x+y and (λ, x) → λx. We...
Let X be a Banach space, V ⊂ X is its subspace and U ⊂ X∗. Given x ∈ X, we are looking for v ∈ V suc...
Let X be a Banach space, V⊂X is its subspace and U⊂X*. Given x∈X, we are looking for v∈V such that u...
Abstract. Precise conditions for a subset A of a Banach space X are known in order that pointwise bo...
We give a new upper bound of the optimal retraction constant for innite dimensional cut invariant su...
SIGLEAvailable from British Library Document Supply Centre- DSC:D43276/82 / BLDSC - British Library ...
AbstractLet ℓ∞ be the space of all bounded sequences x=(x1,x2,…) with the norm‖x‖ℓ∞=supn|xn| and let...
Precise conditions for a subset A of a Banach space X are known in order that pointwise bounded on A...
AbstractIt is shown that every separable Banach space X containing a subspace isomorphic to c0 has a...
Many of the fundamental research problems in the geometry of normed linear spaces can be loosely phr...
Abstract. A mapping α from a normed space X into itself is called a Banach operator if there is a co...
Let A be a linear operator in a Banach space X. We define a subspace of X and a norm such that the p...
A mapping α from a normed space X into itself is called a Banach operator if there is a constant k s...
AbstractIt is shown that for the separable dual X∗ of a Banach space X, if X∗ has the weak approxima...
AbstractLet 1 < p ⩽ 2 ⩽ q < ∞ and X be either a Banach lattice which is p-convex and q-concave or a ...
Definition 1. X is a linear vector space, if one has the operations (x, y) → x+y and (λ, x) → λx. We...