AbstractIn this note we construct a C∞-smooth, LFC (Locally depending on Finitely many Coordinates) bump function, in every separable Banach space admitting a continuous, LFC bump function
We show that for every Lipschitz function f defined on a separable Riemannian manifold M (possibly o...
If a Banach space has a Lipschitz C¹-smooth bump function, then it admits other bumps of the same sm...
Abstract. We make a survey of recent results on the geometrical properties of smooth bump functions ...
AbstractIn this note we construct a C∞-smooth, LFC (Locally depending on Finitely many Coordinates) ...
summary:The notion of functions dependent locally on finitely many coordinates plays an important ro...
AbstractWe give a brief survey of classical and recent results concerning smooth bump functions on B...
A bump b on a Banach space X is a (most often smooth, at least continu-ous) function with bounded no...
AbstractWe prove the following new characterization of Cp (Lipschitz) smoothness in Banach spaces. A...
ABSTRACT. It is shown that if a Banach space X admits a Ck-smooth bump function, and XŁ is Asplund, ...
AbstractWe show that for every Lipschitz function f defined on a separable Riemannian manifold M (po...
Abstract. We prove that if a Banach spaceX admits a Lipschitz β-smooth bump function, then (X∗, weak...
summary:Every separable Banach space with $C^{(n)}$-smooth norm (Lipschitz bump function) admits an ...
We show that if X is a Banach space having an unconditional basis and a C p-smooth Lipschitz bump fu...
It is shown that the order of Gateaux smoothness of bump functions on a wide class of Banach spaces ...
AbstractLet X be an open set in a Banach space G on which there is a Cp bump function with bounded d...
We show that for every Lipschitz function f defined on a separable Riemannian manifold M (possibly o...
If a Banach space has a Lipschitz C¹-smooth bump function, then it admits other bumps of the same sm...
Abstract. We make a survey of recent results on the geometrical properties of smooth bump functions ...
AbstractIn this note we construct a C∞-smooth, LFC (Locally depending on Finitely many Coordinates) ...
summary:The notion of functions dependent locally on finitely many coordinates plays an important ro...
AbstractWe give a brief survey of classical and recent results concerning smooth bump functions on B...
A bump b on a Banach space X is a (most often smooth, at least continu-ous) function with bounded no...
AbstractWe prove the following new characterization of Cp (Lipschitz) smoothness in Banach spaces. A...
ABSTRACT. It is shown that if a Banach space X admits a Ck-smooth bump function, and XŁ is Asplund, ...
AbstractWe show that for every Lipschitz function f defined on a separable Riemannian manifold M (po...
Abstract. We prove that if a Banach spaceX admits a Lipschitz β-smooth bump function, then (X∗, weak...
summary:Every separable Banach space with $C^{(n)}$-smooth norm (Lipschitz bump function) admits an ...
We show that if X is a Banach space having an unconditional basis and a C p-smooth Lipschitz bump fu...
It is shown that the order of Gateaux smoothness of bump functions on a wide class of Banach spaces ...
AbstractLet X be an open set in a Banach space G on which there is a Cp bump function with bounded d...
We show that for every Lipschitz function f defined on a separable Riemannian manifold M (possibly o...
If a Banach space has a Lipschitz C¹-smooth bump function, then it admits other bumps of the same sm...
Abstract. We make a survey of recent results on the geometrical properties of smooth bump functions ...