[PDF] Top 20 p representable operators in Banach spaces

... Let LE,F be the space of all bounded linear operators from E into F and BE* the unit ball of E*, the dual of E The completion of the injective tensor product of E and F is denoted by E F[r] ... See full document

... positive operators in the different concrete Banach ...concrete Banach spaces and concrete positive operators ...differential operators or finite or infinite matrices for instance) ... See full document

... An attempt of a de facto investigation of Problem . is by Donoghue, see Example  in [] and [], which comprise a more systematic study via Problem . or more generally via elementary invariant subspaces. The ... See full document

... of p-adic differential and par- tial differential equations [9, 11–13, 18] as strong (mild) solutions to the Cauchy problem related to several classes of differential and partial differential equations in the ... See full document

... of operators in the Banach space settings for Mann and Ishikawa iterative ...the Banach space setting. Let (𝐸, ∣∣.∣∣) be a Banach space and 𝑇 : 𝐸 → 𝐸 a selfmap of ... See full document

... positive operators in different concrete Banach ...concrete Banach spaces and concrete positive operators ...differential operators or finite or infinite matrices for instance) ... See full document

... [9,11 ] and it plays an important role in the theory of accretive operators and dissipative operators, differential equations, linear and nonlinear semigroups in Banach spaces and Banach[r] ... See full document

... The first measure of noncompactness, the function α, was defined and studied by Kura- towski [] in . Darbo [] used this measure to generalize both the classical Schauder fixed point principle and (a special variant of ... See full document

... Definition 2.2. Let X and Y be two Banach spaces. Let T (s) and S (t) be two semigroups in L (X ) and L (Y ) respectively. Define a two-parameter semigroup as a vector valued function of two variables F : ... See full document

... of Banach spaces X such that all the maximal ideals in B (X) can be ...singular operators is the unique maximal ideal in B (X) for each hereditarily indecomposable Banach space X, and we prove ... See full document

... The two well-known iterative schemes for successive approximation of a solution of the equation Ax = f , where A is either uniformly accretive or strongly accretive, are the Ishikawa iteration process (see, e.g., [20]) ... See full document

... (u − λAu) − u,J(y − u) ≤ 0 (2.14) for all y ∈ C and λ > 0. This inequality is equivalent to the inequality − λAu,J(y − u) ≤ 0. Since λ > 0, we have u ∈ S(C, A). This completes the proof. Now, we define an extension ... See full document

... monotone operators, the set of fixed points of a totally quasi-φ-asymptotically nonexpansive mapping and the set of solutions of a system of generalized Ky Fan’s in- equalities in a uniformly smooth and strictly ... See full document

... Many nonlinear problems can be formulated as the problem of finding a zero point of a maximal monotone operator in a Banach space. The proximal point method, which was first introduced by Martinet [] and generally ... See full document

... fixed points of a nonexpansive mapping, the set of solutions of an equilibrium problem and the set of solutions of the variational inequality for monotone, Lipschitz-continuous mappings and proved its strong convergence ... See full document

... It is our purpose in this paper to construct a coupled iteration process and prove its strong conver- gence to a solution of u + KF u = 0 in uniformly convex and uniformly smooth real Banach spaces, where ... See full document

... The key idea of the proof is entirely different from the techniques used, which are based on a special geometric property of the reflexive Schatten von Neumann ideals, a property which ℒ(ℓ (1+𝜖) , ℓ (1+𝜖) ) does not ... See full document

... 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] ... See full document

... a Banach algebraic context, there is a stronger notion than Dedekind- finiteness; this is having stable rank one , in the sense of Rieffel, see Definition ...a Banach space E , its algebra of ... See full document

... Monotone operators in reflexive Banach spaces has many applications in nonlinear partial differential equations, nonlinear semi-group theory, variational inequality and so on (see ...monotone ... See full document