DSpace Collection: Volume 21 Number 1
http://hdl.handle.net/10525/528
Serdica Mathematical Journal Volume 21, Number 1, 1995The Collection's search engineSearch the Channelsearch
http://sci-gems.math.bas.bg/jspui/simple-search
Operators Factoring through Banach Lattices and Ideal Norms
http://hdl.handle.net/10525/630
Title: Operators Factoring through Banach Lattices and Ideal Norms<br/><br/>Authors: Reisner, Shlomo<br/><br/>Abstract: A new, unified presentation of the ideal norms of factorization of operators through Banach lattices and related ideal norms is given.Some Comments on Q-Irresolute and Quasi-Irresolute Functions
http://hdl.handle.net/10525/629
Title: Some Comments on Q-Irresolute and Quasi-Irresolute Functions<br/><br/>Authors: Dontchev, Julian; Ganster, Maximilian<br/><br/>Abstract: The aim of this paper is to continue the study of θ-irresolute andquasi-irresolute functions as well as to give an example of a function which is θ-irresolute but neither quasi-irresolute nor an R-map and thus give an answer toa question posed by Ganster, Noiri and Reilly. We prove that RS-compactness ispreserved under open, quasi-irresolute surjections.A Mean Value Theorem for non Differentiable Mappings in Banach Spaces
http://hdl.handle.net/10525/628
Title: A Mean Value Theorem for non Differentiable Mappings in Banach Spaces<br/><br/>Authors: Deville, Robert<br/><br/>Abstract: We prove that if f is a real valued lower semicontinuous functionon a Banach space X and if there exists a C^1, real valued Lipschitz continuousfunction on X with bounded support and which is not identically equal to zero,then f is Lipschitz continuous of constant K provided all lower subgradients off are bounded by K. As an application, we give a regularity result of viscositysupersolutions (or subsolutions) of Hamilton-Jacobi equations in infinite dimensionswhich satisfy a coercive condition. This last result slightly improves some earlierwork by G. Barles and H. Ishii.Nonlinear Variational Inequalities Depending on a Parameter
http://hdl.handle.net/10525/627
Title: Nonlinear Variational Inequalities Depending on a Parameter<br/><br/>Authors: Goeleven, D.; Théra, M.<br/><br/>Abstract: This paper develops the results announced in the Note [14]. Using aneigenvalue problem governed by a variational inequality, we try to unify the theoryconcerning the post-critical equilibrium state of a thin elastic plate subjected tounilateral conditions.Fermat's Equation in Matrices
http://hdl.handle.net/10525/626
Title: Fermat's Equation in Matrices<br/><br/>Authors: Khazanov, Alex<br/><br/>Abstract: The Fermat equation is solved in integral two by two matrices of determinant one as well as in finite order integral three by three matrices.On Uniformly Convex and Uniformly Kadec-Klee Renomings
http://hdl.handle.net/10525/625
Title: On Uniformly Convex and Uniformly Kadec-Klee Renomings<br/><br/>Authors: Lancien, Gilles<br/><br/>Abstract: We give a new construction of uniformly convex norms with a powertype modulus on super-reflexive spaces based on the notion of dentability index.Furthermore, we prove that if the Szlenk index of a Banach space is less thanor equal to ω (first infinite ordinal) then there is an equivalent weak* lower semicontinuous positively homogeneous functional on X* satisfying the uniform Kadec-Klee Property for the weak*-topology (UKK*). Then we solve the UKK or UKK*renorming problems for Lp(X) spaces and C(K) spaces for K scattered compactspace.