Linear Operators on Banach spaces
C0 semigroups of linear operators on some ultrametric Banach spaces
... ULTRAMETRIC BANACH SPACES TOKA DIAGANA Received 20 August 2005; Revised 28 February 2006; Accepted 25 April 2006 C 0 -semigroups of linear operators play a crucial role in the solvability of ...
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On Ulyanov inequalities in Banach spaces and semigroups of linear operators
... Particular choices of X, Y are Lorentz–Zygmund spaces, of {T t} are those connected with orthogonal expansions such as Fourier, spherical harmonics, Jacobi, Laguerre, Hermite series.. Kn[r] ...
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Mean ergodic theorem for semigroups of linear operators in multi Banach spaces
... 3 Preliminaries and lemmas Let E a real Banach space and let E ∗ be the conjugate space of E, that is, the space of all continuous linear functionals on E. The value of x ∗ ∈ E ∗ at x ∈ E will be denoted by ...
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Hypo-q-Norms on a Cartesian Product of Algebras of Operators on Banach Spaces
... (1.14) k x k h;n;r k x k h;n;q n r rq q k x k h;n;r for any x 2 E n : In this paper we introduce the hypo-q-operator norms and hypo-q-numerical ra- dius on a Cartesian product of algebras of bounded linear ...
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Connections between Hyers Ulam stability and uniform exponential stability of discrete evolution families of bounded linear operators over Banach spaces
... see, e.g., [–] and the references cited therein. In this paper, we are concerned with the first-order linear system θ n+ = n θ n , n ∈ Z + , (.) where Z + is the set of all nonnegative integers and ( n ) is ...
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A Spectral Analysis of Linear Operator Pencils on Banach Spaces with Application to Quotient of Bounded Operators
... of linear operator pen- cils of type A − ...of operators defined on a Banach space X with values in another Banach space Y which is not necessarily equal to ...for linear operator ...
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Algebras of operators on Banach spaces, and homomorphisms thereof
... unital Banach algebra B(X) of bounded linear operators from this perspective, where X is an infinite-dimensional Banach ...all Banach spaces and algebras are assumed to be ...
166
On periodic one parameter groups of linear operators in a Banach space and applications
... of linear operators in a Banach ...a linear differential equation of the nth order with constant coefficients and systems of linear differential equations with constant coefficients in ...
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Invariant Subspace Theorems For Families Of Operators On Banach Spaces And Banach Lattices
... compact operators and for precompact sets of essentially scalar operators on an infinite dimensional Banach ...of operators satisfies the Berger-Wang ...
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Maximal ideals in the algebra of operators on certain Banach spaces
... be Banach spaces. A continuous linear map from X to Y is termed an ...all operators from X to Y is denoted by B (X, Y) (or B (X) in the case where X = ...the linear span of a subset X 0 ...
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Nonlinear Evolution Governed by Accretive Operators in Banach Spaces:
... The other main feature of our construction goes back to the notion of integral solution due to Benilan [4]: discrete solutions are then characterized by a system of evolution inequalities involving the distance from an ...
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An invariant subspace problem for multilinear operators on Banach spaces and algebras
... are linear endomorphisms then the nonlinear operators they generate are known to preserve the structures of Banach algebras, a property most suitable for our research ...
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Bases In Spaces Of Regular Multilinear Operators And Homogeneous Polynomials On Banach Lattices
... Then T u is a finite-rank m-linear operator which does not depend on the representations of u and hence, T u ∈ L r (E 1 ∗ , . . . , E m ∗ ; R). Definition 2.3.6. Let E 1 ⊗ ˇ || . . . ˇ ⊗ || E m denote the closed ...
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A fixed point theorem for a class of differentiable stable operators in banach spaces
... stable operators in real Banach ...of linear and nonlinear stable operators in a systematic way and prove solvability theorems for operator equations with differentiable expanding ...monotone ...
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A STABLE METHOD FOR LINEAR EQUATION IN BANACH SPACES WITH SMOOTH NORMS
... a linear operator equation in reflexive Banach spaces is ...Approximate operators and their conjugate ones must possess the property of strong pointwise ...the Banach space of solutions ...
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Linear Impulsive Periodic System with Time Varying Generating Operators on Banach Space
... dimensional spaces, the reader can refer to Yang’s book and Lakshmikantham’s book (see [15, ...dimensional spaces, the reader can refer to Ahmed’s paper, Liu’s paper and Xiang’s papers (see [4, 8, 11, ...
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p representable operators in Banach spaces
... An operator T L(E,F) is called p-representable operator if there exists a finite measure defined on the Borel sets of B(E*) and a function.. ilg(x*)ll qd , and Tx x,x* g(x*)d(x*).[r] ...
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Monotone type operators in nonreflexive Banach spaces
... 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 ...
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The lattice of closed ideals in the Banach algebra of operators on certain Banach spaces
... of Banach spaces that we shall be concerned with, together with those of their basic properties that we ...certain Banach spaces E , the ideals of approximable, compact, strictly singular, and ...
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Maximal ideals in the algebra of operators on certain Banach spaces.
... infinite-dimensional Banach spaces X for which the lattice of closed ideals in B(X) is completely ...various Banach spaces X and in this way gain insight into the closed ideal structure of ...
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