On a Theorem of N.Th. Varopoulos.
The search session has expired. Please query the service again.
Page 1 Next
Displaying 1 – 20 of 54
On an application of a Newton-like method to the approximation of implicit functions
Ioannis K. Argyros (1992)
Mathematica Slovaca
On boundedly-convex functions on pseudo-topological vector spaces.
Averbuch, Vladimir (2000)
International Journal of Mathematics and Mathematical Sciences
On conability of singlevalued mappings
Le Van Hot (1982)
Časopis pro pěstování matematiky
On convex functions in c0(w1).
Petr Hájek (1996)
Collectanea Mathematica
It is proved that no convex and Fréchet differentiable function on c0(w1), whose derivative is locally uniformly continuous, attains its minimum at a unique point.
On De Blasi's differentiation theory for multifunctions
Andrzej Spakowski (1985)
Časopis pro pěstování matematiky
On derivations on certain function spaces and their relation to the differential operator. (Über Derivationen auf gewissen Funktionenräumen und deren Beziehung zum Differentiationsoperator.)
Powa̧zka, Zbigniew, Rose, Michael (1994)
Mathematica Pannonica
On differentiability properties of Lipschitz functions on a Banach space with a Lipschitz uniformly Gâteaux differentiable bump function
Luděk Zajíček (1997)
Commentationes Mathematicae Universitatis Carolinae
We improve a theorem of P.G. Georgiev and N.P. Zlateva on Gâteaux differentiability of Lipschitz functions in a Banach space which admits a Lipschitz uniformly Gâteaux differentiable bump function. In particular, our result implies the following theorem: If is a distance function determined by a closed subset of a Banach space with a uniformly Gâteaux differentiable norm, then the set of points of at which is not Gâteaux differentiable is not only a first category set, but it is even -porous...
On differentiation of metric projections in finite dimensional Banach spaces
Luděk Zajíček (1983)
Czechoslovak Mathematical Journal
On Fréchet differentiability of convex functions on Banach spaces
Wee-Kee Tang (1995)
Commentationes Mathematicae Universitatis Carolinae
Equivalent conditions for the separability of the range of the subdifferential of a given convex Lipschitz function defined on a separable Banach space are studied. The conditions are in terms of a majorization of by a -smooth function, separability of the boundary for or an approximation of by Fréchet smooth convex functions.
On full derivatives
Krystyna Skórnik (1983)
Annales Polonici Mathematici
On functions with vanishing local derivative
Krystyna Skórnik (1986)
Annales Polonici Mathematici
On Gateaux differentiable bump functions
Francisco Hernández, Stanimir Troyanski (1996)
Studia Mathematica
It is shown that the order of Gateaux smoothness of bump functions on a wide class of Banach spaces with unconditional basis is not better than that of Fréchet differentiability. It is proved as well that in the separable case this order for Banach lattices satisfying a lower p-estimate for 1≤ p < 2 can be only slightly better.
On Hadamard differentiability
Jiří Durdil (1973)
Commentationes Mathematicae Universitatis Carolinae
On infinite derivatives of continuous functions
Z. Zieleźny (1964)
Studia Mathematica
On integrability in F-spaces
Mikhail Popov (1994)
Studia Mathematica
Some usual and unusual properties of the Riemann integral for functions x : [a,b] → X where X is an F-space are investigated. In particular, a continuous integrable -valued function (0 < p < 1) with non-differentiable integral function is constructed. For some class of quasi-Banach spaces X it is proved that the set of all X-valued functions with zero derivative is dense in the space of all continuous functions, and for any two continuous functions x and y there is a sequence of differentiable...
On -differentiability and difference properties of functions
Tord Sjödin (1982)
Studia Mathematica
On Lipschitz conditions for ordinary differential equations in Fréchet spaces
Gerd Herzog (1998)
Czechoslovak Mathematical Journal
We will give an existence and uniqueness theorem for ordinary differential equations in Fréchet spaces using Lipschitz conditions formulated with a generalized distance and row-finite matrices.
On local derivatives
Krystyna Skórnik (1983)
Annales Polonici Mathematici
On nonconvex subdifferential calculus in Banach spaces.
Mordukhovich, Boris S., Shao, Yongheng (1995)
Journal of Convex Analysis
Currently displaying 1 – 20 of 54
Page 1 Next