AbstractLet H be a real or complex infinite-dimensional Hilbert space. Then, for every closed ball B of H, there exists an affine continuous function T: H → H for which 〈T(x), x〉 is an interior point of {〈T(x), u〉: u ϵ B} for every x ϵ B. In fact, a stronger result concerning L2 is proved (Theorem 3)
Saint Raymond asked whether continuously differentiable maps with isolated critical points are neces...
An infinite-dimensional manifold is a topological manifold modeled on some infinite-dimensional homo...
It is shown that if E is a Frechet space with the strong dual E∗ then Hb(E ∗), the space of holomorp...
AbstractLet C(X) be the Banach space of continuous real-valued functions of an infinite compactum X ...
AbstractThe title statement is proved. Similar results for arbitrary Banach spaces are obtained in b...
AbstractThe title statement is proved. Similar results for arbitrary Banach spaces are obtained in b...
Throughout C will denote a fixed Hilbert space, called the coefficient space. By a vector we mean an...
Let H be a Hilbert space such that H=V⊕W, where V and W are two closed subspaces of H. We generalize...
Let f = I - k be a compact vector field of class C1 on a real Hilbert space H. In the spirit of Bolz...
We prove that under the extended Carleson's condition, a sequence (xn) ⊂ BH is linear interpolating ...
AbstractLet H be a Hilbert space and B(H) the algebra of all bounded linear operators on H. In this ...
Abstract. Let X be a topological group or a convex set in a linear metric space. We prove that X is ...
AbstractLet E denote the real inner product space that is the union of all finite dimensional Euclid...
We show in this paper that every domain in a separable Hilbert space, say R, which has a C-2 smooth ...
AbstractWe establish the following converse to the Eidelheit theorem: an unbounded closed and convex...
Saint Raymond asked whether continuously differentiable maps with isolated critical points are neces...
An infinite-dimensional manifold is a topological manifold modeled on some infinite-dimensional homo...
It is shown that if E is a Frechet space with the strong dual E∗ then Hb(E ∗), the space of holomorp...
AbstractLet C(X) be the Banach space of continuous real-valued functions of an infinite compactum X ...
AbstractThe title statement is proved. Similar results for arbitrary Banach spaces are obtained in b...
AbstractThe title statement is proved. Similar results for arbitrary Banach spaces are obtained in b...
Throughout C will denote a fixed Hilbert space, called the coefficient space. By a vector we mean an...
Let H be a Hilbert space such that H=V⊕W, where V and W are two closed subspaces of H. We generalize...
Let f = I - k be a compact vector field of class C1 on a real Hilbert space H. In the spirit of Bolz...
We prove that under the extended Carleson's condition, a sequence (xn) ⊂ BH is linear interpolating ...
AbstractLet H be a Hilbert space and B(H) the algebra of all bounded linear operators on H. In this ...
Abstract. Let X be a topological group or a convex set in a linear metric space. We prove that X is ...
AbstractLet E denote the real inner product space that is the union of all finite dimensional Euclid...
We show in this paper that every domain in a separable Hilbert space, say R, which has a C-2 smooth ...
AbstractWe establish the following converse to the Eidelheit theorem: an unbounded closed and convex...
Saint Raymond asked whether continuously differentiable maps with isolated critical points are neces...
An infinite-dimensional manifold is a topological manifold modeled on some infinite-dimensional homo...
It is shown that if E is a Frechet space with the strong dual E∗ then Hb(E ∗), the space of holomorp...
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