Examples of stable -semigroups
Exemples de noyaux admettant des resolvantes.
Existence of the smallest selfadjoint extension
Existence of time averages from the topological point of view
Existenz der Wellenoperatoren für eine allgemeine Klasse von Operatoren.
Expansional in banach algebras
Expansions in Generalized Eigenfunctions of Selfadjoint Operators.
Explicit representation of compact linear operators in Banach spaces via polar sets
We consider a compact linear map T acting between Banach spaces both of which are uniformly convex and uniformly smooth; it is supposed that T has trivial kernel and range dense in the target space. It is shown that if the Gelfand numbers of T decay sufficiently quickly, then the action of T is given by a series with calculable coefficients. This provides a Banach space version of the well-known Hilbert space result of E. Schmidt.
Explicit solutions for boundary value problems related to the operator equations
Cauchy problem, boundary value problems with a boundary value condition and Sturm-Liouville problems related to the operator differential equation are studied for the general case, even when the algebraic equation is unsolvable. Explicit expressions for the solutions in terms of data problem are given and computable expressions of the solutions for the finite-dimensional case are made available.
Exponential bounds for noncommuting systems of matrices
It is shown that a finite system T of matrices whose real linear combinations have real spectrum satisfies a bound of the form . The proof appeals to the monogenic functional calculus.
Exponential decay law and irreversibility of decay and collision processes
Exponential dichotomy of difference equations in -phase spaces on the half-line.
Exponential laws for topological categories, groupoids and groups, and mapping spaces of colimits
Exponential stability of linear and almost periodic systems on Banach spaces.
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.
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...
Extension and decomposition operators in products of strictly pseudoconvex sets
Extension of Analytic Functional Calculus Mappings and Duality by ...-Closed Forms with Growth.
Extension of Linear Operators