In his paper [1], Bates investigates the existence of nonlinear, but highly smooth, surjective operators between various classes of Banach spaces. Modifying his basic method, he obtains the following striking results
We study the geometric classification of Banach spaces via Lipschitz, uniformly continuous, an...
summary:Here we study the existence of lower and upper $\ell _p$-estimates of sequences in some Bana...
For any non-trivial convex and bounded subset $C$ of a Banach space, we show that outside of a $\sig...
Let f : E -> F be a surjective mapping between two real or complex Banach spaces, with f having some...
summary:Surjectivity results of Fredholm alternative type are obtained for nonlinear operator equati...
summary:Surjectivity results of Fredholm alternative type are obtained for nonlinear operator equati...
Given a surjective mapping f : E -> F between Banach spaces, we investigate the existence of a subsp...
Given a surjective mapping f : E -> F between Banach spaces, we investigate the existence of a subsp...
Given a surjective mapping f: E → F between Banach spaces, we investigate the existence of a subspac...
Given a surjective mapping f: E → F between Banach spaces, we investigate the existence of a subspac...
ABSTRACT. Let X and Y be Banach spaces and let F and be Gateaux differentiable mappings from X to Y ...
ABSTRACT. Let X and Y be Banach spaces and let F and be Gateaux differentiable mappings from X to Y ...
SummaryLet K be a complete infinite rank valued field. In [4] we studied Norm Hilbert Spaces (NHS) o...
AbstractWe show that any infinite-dimensional Banach (or more generally, Fréchet) space contains lin...
AbstractThe surjectivity of operators from a Banach space into its topological conjugate space is im...
We study the geometric classification of Banach spaces via Lipschitz, uniformly continuous, an...
summary:Here we study the existence of lower and upper $\ell _p$-estimates of sequences in some Bana...
For any non-trivial convex and bounded subset $C$ of a Banach space, we show that outside of a $\sig...
Let f : E -> F be a surjective mapping between two real or complex Banach spaces, with f having some...
summary:Surjectivity results of Fredholm alternative type are obtained for nonlinear operator equati...
summary:Surjectivity results of Fredholm alternative type are obtained for nonlinear operator equati...
Given a surjective mapping f : E -> F between Banach spaces, we investigate the existence of a subsp...
Given a surjective mapping f : E -> F between Banach spaces, we investigate the existence of a subsp...
Given a surjective mapping f: E → F between Banach spaces, we investigate the existence of a subspac...
Given a surjective mapping f: E → F between Banach spaces, we investigate the existence of a subspac...
ABSTRACT. Let X and Y be Banach spaces and let F and be Gateaux differentiable mappings from X to Y ...
ABSTRACT. Let X and Y be Banach spaces and let F and be Gateaux differentiable mappings from X to Y ...
SummaryLet K be a complete infinite rank valued field. In [4] we studied Norm Hilbert Spaces (NHS) o...
AbstractWe show that any infinite-dimensional Banach (or more generally, Fréchet) space contains lin...
AbstractThe surjectivity of operators from a Banach space into its topological conjugate space is im...
We study the geometric classification of Banach spaces via Lipschitz, uniformly continuous, an...
summary:Here we study the existence of lower and upper $\ell _p$-estimates of sequences in some Bana...
For any non-trivial convex and bounded subset $C$ of a Banach space, we show that outside of a $\sig...