Add to ORKGMotivated by applications to (directionally) Lipschitz functions, we provide a general result on the almost everywhere Gâteaux differentiability of real valued functions on separable Banach spaces, when the function is monotone with respect to an ordering induced by a convex cone with non-empty interior. This seemingly arduous restriction is useful as it covers the case of directionally Lipschitz functions, and necessary: we show by way of example that most results fail more generally
AbstractWe show that any non-zero Banach space with a separable dual contains a totally disconnected...
summary:We improve a theorem of P.G. Georgiev and N.P. Zlateva on G\^ateaux differentiability of Lip...
AbstractIn this paper we address some of the most fundamental questions regarding the differentiabil...
Motivated by applications to (directionally) Lipschitz functions, we provide a general result on the...
Abstract. Motivated by applications to (directionally) Lipschitz functions, we provide a general res...
We give a geometric description of the smallest σ-ideal http://static-content.springer.com/image/ar...
summary:We present some consequences of a deep result of J. Lindenstrauss and D. Preiss on $\Gamma$-...
Abstract. In nite-dimensional spaces, cone-monotone functions { a special case of which are the coor...
AbstractThis paper considers Fréchet differentiability almost everywhere in the sense of category of...
We generalize the generic single-valuedness and continuity of monotone operators defined on open sub...
AbstractDavid Preiss proved that every locally Lipschitz function on an open subset of a Banach spac...
This book makes a significant inroad into the unexpectedly difficult question of existence of Frchet...
AbstractThe main result of this note says that, if the norm of a Banach space E is differentiable (F...
summary:Equivalent conditions for the separability of the range of the subdifferential of a given co...
Preiss1 and Jaroslav Tǐser2 In this note we present two examples illustrating some surprising rela-...
AbstractWe show that any non-zero Banach space with a separable dual contains a totally disconnected...
summary:We improve a theorem of P.G. Georgiev and N.P. Zlateva on G\^ateaux differentiability of Lip...
AbstractIn this paper we address some of the most fundamental questions regarding the differentiabil...
Motivated by applications to (directionally) Lipschitz functions, we provide a general result on the...
Abstract. Motivated by applications to (directionally) Lipschitz functions, we provide a general res...
We give a geometric description of the smallest σ-ideal http://static-content.springer.com/image/ar...
summary:We present some consequences of a deep result of J. Lindenstrauss and D. Preiss on $\Gamma$-...
Abstract. In nite-dimensional spaces, cone-monotone functions { a special case of which are the coor...
AbstractThis paper considers Fréchet differentiability almost everywhere in the sense of category of...
We generalize the generic single-valuedness and continuity of monotone operators defined on open sub...
AbstractDavid Preiss proved that every locally Lipschitz function on an open subset of a Banach spac...
This book makes a significant inroad into the unexpectedly difficult question of existence of Frchet...
AbstractThe main result of this note says that, if the norm of a Banach space E is differentiable (F...
summary:Equivalent conditions for the separability of the range of the subdifferential of a given co...
Preiss1 and Jaroslav Tǐser2 In this note we present two examples illustrating some surprising rela-...
AbstractWe show that any non-zero Banach space with a separable dual contains a totally disconnected...
summary:We improve a theorem of P.G. Georgiev and N.P. Zlateva on G\^ateaux differentiability of Lip...
AbstractIn this paper we address some of the most fundamental questions regarding the differentiabil...