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[PDF] Top 20 On moduli of convexity in Banach spaces

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On moduli of convexity in Banach spaces

On moduli of convexity in Banach spaces

... x ∈ U and ε > 0, T maps the ε-neighbourhood of x in U onto a set containing the c ρ(x, ε)- neighbourhood of T (x) in T(U). Thus the “ ρ -moduli” help to estimate relative openness of T on U in a quantitative ... See full document

11

ℂ convexity in infinite dimensional
  Banach spaces and
applications to Kergin interpolation

ℂ convexity in infinite dimensional Banach spaces and applications to Kergin interpolation

... linear convexity and C -convexity in complex Banach ...the Banach space X and a point p / ∈ Ω , there is a complex hyper- plane through p that does not intersect ... See full document

9

Multismoothness in Banach Spaces

Multismoothness in Banach Spaces

... We now relate ω-smooth points to the structure of closed faces from convexity theory [19]. Let K be a compact convex set and let A(K) denote the space of real-valued a ffi ne continuous functions on K , equipped ... See full document

12

Some fixed point theorems and common fixed point theorem in log-convex structure

Some fixed point theorems and common fixed point theorem in log-convex structure

... of convexity in metric spaces and studies some fixed point theorems for non expansive mapping in such ...norm spaces and their convex subsets are convex metric ...metric spaces which are not ... See full document

6

Moduli and Characteristics of Monotonicity in Some Banach Lattices

Moduli and Characteristics of Monotonicity in Some Banach Lattices

... ¨othe spaces the definition of the characteristic of monotonicity can be simplified by using another ...¨othe spaces, it should be easier to calculate this coefficient in concrete classes of K ¨othe ... See full document

22

Evolution of the 1984 KKM theorem of Ky Fan

Evolution of the 1984 KKM theorem of Ky Fan

... Recently we established the Knaster, Kuratowski, and Mazurkiewicz (KKM) theory on abstract convex spaces. In our research, we noticed that there are quite a few generalizations and applications of the 1984 KKM ... See full document

14

Some convexity inequalities in noncommutative Lp spaces

Some convexity inequalities in noncommutative Lp spaces

... affiliated with a semi-finite von Neumann algebra equipped with a normal faithful semi- finite trace τ . On one hand, we use the method of Hiai and Zhan, via the notion of gener- alized singular value studied by Fack and ... See full document

6

Proximinality in generalized direct sums

Proximinality in generalized direct sums

... In the first part of the paper, we study proximinal subspaces of finite codimension in generalized direct sums of Banach spaces (a concept due to Veselý [9], see below for the definition). Our motivation comes ... See full document

8

Geometry of moduli spaces of higher spin curves

Geometry of moduli spaces of higher spin curves

... the moduli space M g is very far from being rational or unirational since it is of general ...that moduli spaces of curves are characterized by the fact of being rational or unirational in the ... See full document

57

Fixed-point theorems for mappings satisfying the ordered contractive condition on noncommutative spaces

Fixed-point theorems for mappings satisfying the ordered contractive condition on noncommutative spaces

... All Banach spaces are noncommutative Banach ...a Banach space, then (X, +) is a group with a unit θ , and there exists a metric d induced by the norm · such that (X, d) is a complete metric ... See full document

12

Chebyshev centers that are not farthest points

Chebyshev centers that are not farthest points

... It is clear that if the unit sphere of a Banach space X contains a nontrivial line segment L = {tu + (1 − t)v: t ∈ [0, 1]} (i.e., X is not strictly convex), then all the points of L are of the same distance 1 from ... See full document

16

An Iterative Shrinking Generalized -Projection Method for -Quasi-strict Pseudo-contractions in Banach Spaces

An Iterative Shrinking Generalized -Projection Method for -Quasi-strict Pseudo-contractions in Banach Spaces

... Abstract—The purposes of this paper are to study the new type of mappings called G-quasi-strict pseudo-contractions and to create some iterative projection techniques to find some fixed points of the mappings. Moreover, ... See full document

6

Moduli Problems in Derived Noncommutative Geometry

Moduli Problems in Derived Noncommutative Geometry

... the moduli functors intro- duced in ...the moduli functor M \ X parametriz- ing all objects in a compactly generated category is a sheaf for the flat topology (Proposition ... See full document

139

4. Retro Banach frames, almost exact retro Banach frames in Banach spaces

4. Retro Banach frames, almost exact retro Banach frames in Banach spaces

... Perturbation theory is a very important tool in various area of applied math- ematics. In frame theory, it begin with the fundamental perturbation result of Paley and Wiener. P.G.Casazza and O.Christensen [2] studied the ... See full document

11

On some recent coincidence and immediate consequences in partially ordered b-metric spaces

On some recent coincidence and immediate consequences in partially ordered b-metric spaces

... The aim of this article is to present, improve and generalize some recent coincidence and coupled coincidence point results from several papers in the framework of partially ordered b-metric spaces. Two examples ... See full document

18

The Ptolemy constant of absolute normalized norms on ℝ2

The Ptolemy constant of absolute normalized norms on ℝ2

... on Banach spaces such as the Gao [1] and von Neumann-Jordan constants ...of Banach spaces, which enable us to classify several important concepts of Banach spaces such as ... See full document

9

Moduli Spaces of Higher Spin Klein Surfaces

Moduli Spaces of Higher Spin Klein Surfaces

... of spaces of m-spin bundles for arbitrary m started more recently because of their applications in singularity theory [Dol], [NP11], [NP13], and the remarkable connection of the compactified moduli space of ... See full document

24

Homotopy theory of moduli spaces

Homotopy theory of moduli spaces

... Maurer-Cartan moduli spaces as models for unbased disconnected rational topological ...connected spaces were first constructed in the two seminal papers of Quillen [Qui69] and Sullivan ...rational ... See full document

102

Stability of the Ishikawa iteration scheme with errors for two strictly hemicontractive operators in Banach spaces

Stability of the Ishikawa iteration scheme with errors for two strictly hemicontractive operators in Banach spaces

... smooth Banach spaces, real uniformly smooth Banach spaces, real Banach spaces; or to the Mann iteration method, the Ishikawa iteration method; or to strongly pseudocontractive ... See full document

14

A formula for the inner spectral radius

A formula for the inner spectral radius

... Fact 3.2 . If T is a compact operator acting on Banach space X, then r i (T ) = i(T ). We begin with some general lemmas that we need in the proof of the main theorem. Lemma 3.3 . Let T ∈ B(X). Then, σ c (T ) = σ ... See full document

6

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