Banach spaces
Involutions with fixed points in 2 Banach spaces
... For an extensive bibliography one is referred to Ieki [6].* In this note, some fixed point theorems for certain involutions in 2-Banach spaces have been obtained which can be viewed as a[r] ...
5
Additive functional inequalities in Banach spaces
... other words, under what condition does there exist a homomorphism near an approximate homomorphism? The concept of stability for a functional equation arises when we replace the functional equation by an inequality which ...
10
Coupling of Brownian motions in Banach spaces
... separable Banach space W supporting a non-trivial Gaussian measure µ ...on Banach spaces: there exist (almost surely) successful couplings of two W -valued Brownian motions B and B e begun at ...
15
Reproducing Kernel Banach Spaces for Machine Learning
... This work attempts to provide an appropriate mathematical foundation of kernel methods for learning in Banach spaces. Many theoretical and practical issues are left for future research. An im- mediate ...
35
On the Weak Relatively Nonexpansive Mappings in Banach Spaces
... 1 Y. I. Alber, “Metric and generalized projection operators in Banach spaces: properties and applications,” in Theory and Applications of Nonlinear Operators of Accretive and Monotone Type, vol. 178 of ...
7
Monotone type operators in nonreflexive Banach spaces
... reflexive Banach spaces has many applications in nonlinear partial differential equations, nonlinear semi-group theory, variational inequality and so on (see ...reflexive Banach spaces has been ...
14
Deviation Measures on Banach Spaces and Applications
... In the case of the single investor, the Markowitz’ type prob- lems—especially the risk minimization over a set of financial positions—is widely studied in our article. We have to mention that throughout the article, we ...
16
A differentiable characterization of local contractions on Banach spaces
... converges locally to x ∗ ([], Chapter , p.). Conversely, if () converges locally to x ∗ , it must be the case that ρ(∂φ(x ∗ )) ≤ . In this note we prove a refinement to this result for arbitrary Banach ...
5
Type and cotype of some Banach spaces
... In this paper we compute the type and cotype for spaces of large class of Banach spaces generated by some positive sublinear operators and Banach function spaces.. This class includes fo[r] ...
6
On monotone pointwise contractions in Banach spaces with a graph
... The notion of asymptotic pointwise mappings was introduced in [–]. The use of ul- trapower technique was useful in proving some related fixed point results. In the paper [], the authors gave simple and elementary ...
10
Generalized α-nonexpansive mappings in Banach spaces
... Motivated by the works of Suzuki [], Aoyama and Kohsaka [], Bin Dehaish and Khamsi [], Song et al. [, ] and others, we obtain some existence and convergence results in ordered Banach spaces for a ...
16
Reverses of the Triangle Inequality in Banach Spaces
... The aim of the present paper is to survey some of the recent results concerning multiplicative and additive reverses for both the discrete and continuous version of the triangle inequalities in Banach ...
48
4. Retro Banach frames, almost exact retro Banach frames in Banach spaces
... The scalars A and B are called the lower and upper frame bounds of the frame, respectively. They are not unique. The inequality in (1.1) is called the frame inequality of the frame. Feichtinger and Gr¨ ocheing [9] ...
11
Operator Lipschitz estimate functions on Banach spaces
... Hilbert spaces, the main difference between Hilbert spaces and general Banach spaces being that on Hilbert spaces one has a large and easily identifiable class of sequence of operators ...
46
Nonlinear variational inequalities on reflexive Banach spaces and topological vector spaces
... Inspired and motivated by research works [1, 3, 4, 6, 7], in this paper, we study the solvability of a new class of nonlinear variational inequality problems in nonempty closed convex subsets and nonempty convex subsets ...
9
Multismoothness in Banach Spaces
... In this paper, motivated by the results published by R. Khalil and A. Saleh in 2005, we study the notion of k-smooth points and the notion of k-smoothness, which are dual to the notion of k-rotundity. Generalizing these ...
12
Banach spaces from barriers in high dimensional Ellentuck spaces
... The presentation here is slightly different than, but equivalent to, the one in [10]. We have chosen to do so in order to simplify the construction of the Banach spaces. In logic, the set of natural numbers ...
42
The lattice of closed ideals in the Banach algebra of operators on certain Banach spaces
... certain Banach spaces E , the ideals of approximable, compact, strictly singular, and inessential operators in B (E) coincide, and that there is a unique minimal closed ideal in B (E) properly containing ...
24
A pythagorean approach in Banach spaces
... classical Banach spaces, and demonstrate the relationships between these parameters and uniformly nonsquare spaces, and the spaces with uniform normal ...
11
Steinhaus’ lattice point problem for Banach spaces
... Now, we will see that strictly convex spaces do not exhaust the whole class of Banach spaces satisfying Steinhaus’ condition. In fact, these two classes differ already in dimension three. The ...
13