On Nemytskii Lipschitzian operator
Janusz Matkowski (1987)
Acta Universitatis Carolinae. Mathematica et Physica
Similarity:
Janusz Matkowski (1987)
Acta Universitatis Carolinae. Mathematica et Physica
Similarity:
Robert Fraser (1969)
Studia Mathematica
Similarity:
Diethard Pallaschke, Dieter Pumplün (2015)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
Similarity:
In this paper the universal properties of spaces of Lipschitz functions, defined over metric spaces, are investigated.
K. de Leeuw (1961)
Studia Mathematica
Similarity:
Heiko Berninger, Dirk Werner (2003)
Extracta Mathematicae
Similarity:
J. Grzybowski, D. Pallaschke, R. Urbański (2007)
Control and Cybernetics
Similarity:
Karol Baron (1983)
Annales Polonici Mathematici
Similarity:
A. Jiménez-Vargas, J. Mena-Jurado, R. Nahum, J. Navarro-Pascual (1999)
Studia Mathematica
Similarity:
Let X be an infinite-dimensional complex normed space, and let B and S be its closed unit ball and unit sphere, respectively. We prove that the identity map on B can be expressed as an average of three uniformly retractions of B onto S. Moreover, for every 0≤ r < 1, the three retractions are Lipschitz on rB. We also show that a stronger version where the retractions are required to be Lipschitz does not hold.
J. Wilker (1971)
Fundamenta Mathematicae
Similarity:
Arya Jamshidi, Fereshteh Sady (2013)
Open Mathematics
Similarity:
In this paper we first consider a real-linear isometry T from a certain subspace A of C(X) (endowed with supremum norm) into C(Y) where X and Y are compact Hausdorff spaces and give a result concerning the description of T whenever A is a uniform algebra on X. The result is improved for the case where T(A) is, in addition, a complex subspace of C(Y). We also give a similar description for the case where A is a function space on X and the range of T is a real subspace of C(Y) satisfying...
Vladimir Demyanov, Diethard Pallaschke (1997)
Applicationes Mathematicae
Similarity:
Clarke’s generalized derivative is studied as a function on the Banach algebra Lip(X,d) of bounded Lipschitz functions f defined on an open subset X of a normed vector space E. For fixed and fixed the function is continuous and sublinear in . It is shown that all linear functionals in the support set of this continuous sublinear function satisfy Leibniz’s product rule and are thus point derivations. A characterization of the support set in terms of point derivations is given. ...