Exponential dichotomy of evolutionary processes in Banach spaces
Exponential formula for one-time integrated semigroups.
Exponential inequalities for a class of operators.
Exponential laws for topological categories, groupoids and groups, and mapping spaces of colimits
Exponential stability for periodic evolution families of bounded linear operators.
Exponential stability of linear and almost periodic systems on Banach spaces.
Exponential stability of stochastic discrete-time, periodic systems in Hilbert spaces.
Exponential-cosine operator-valued functional equation in the strong operator topology.
Exponentials of bounded normal operators
The present paper is mainly concerned with equations involving exponentials of bounded normal operators. Conditions implying commutativity of normal operators are given, without using the known 2πi-congruence-free hypothesis. This is a continuation of a recent work by the second author.
Exponentials of normal operators and commutativity of operators: a new approach
We present a new approach to the question of when the commutativity of operator exponentials implies that of the operators. This is proved in the setting of bounded normal operators on a complex Hilbert space. The proofs are based on some results on similarities by Berberian and Embry as well as the celebrated Fuglede theorem.
Exposed Points of the Unit Ball of ...(H).
Extended Cesàro operators from logarithmic-type spaces to Bloch-type spaces.
Extended composition operators in weighted spaces.
Extended well-posedness for quasivariational inequalities.
Extended Weyl type theorems
An operator acting on a Banach space possesses property if where is the approximate point spectrum of , is the essential semi-B-Fredholm spectrum of and is the set of all isolated eigenvalues of In this paper we introduce and study two new properties and in connection with Weyl type theorems, which are analogous respectively to Browder’s theorem and generalized Browder’s theorem. Among other, we prove that if is a bounded linear operator acting on a Banach space , then...
Extending the applicability of Newton's method using nondiscrete induction
We extend the applicability of Newton's method for approximating a solution of a nonlinear operator equation in a Banach space setting using nondiscrete mathematical induction concept introduced by Potra and Pták. We obtain new sufficient convergence conditions for Newton's method using Lipschitz and center-Lipschitz conditions instead of only the Lipschitz condition used in F. A. Potra, V. Pták, Sharp error bounds for Newton's process, Numer. Math., 34 (1980), 63–72, and F. A. Potra, V. Pták, Nondiscrete...
Extension and decomposition operators in products of strictly pseudoconvex sets
Extension and lifting of weakly continuous polynomials
We show that a Banach space X is an ℒ₁-space (respectively, an -space) if and only if it has the lifting (respectively, the extension) property for polynomials which are weakly continuous on bounded sets. We also prove that X is an ℒ₁-space if and only if the space of m-homogeneous scalar-valued polynomials on X which are weakly continuous on bounded sets is an -space.
Extension of Analytic Functional Calculus Mappings and Duality by ...-Closed Forms with Growth.
Extension of Linear Operators