Renormage de certains espaces d'operateurs.
Representing non-weakly compact operators
For each S ∈ L(E) (with E a Banach space) the operator R(S) ∈ L(E**/E) is defined by R(S)(x** + E) = S**x** + E(x** ∈ E**). We study mapping properties of the correspondence S → R(S), which provides a representation R of the weak Calkin algebra L(E)/W(E) (here W(E) denotes the weakly compact operators on E). Our results display strongly varying behaviour of R. For instance, there are no non-zero compact operators in Im(R) in the case of and C(0,1), but R(L(E)/W(E)) identifies isometrically with...
Rings of PDE-preserving operators on nuclearly entire functions
Let E,F be Banach spaces where F = E’ or vice versa. If F has the approximation property, then the space of nuclearly entire functions of bounded type, , and the space of exponential type functions, Exp(F), form a dual pair. The set of convolution operators on (i.e. the continuous operators that commute with all translations) is formed by the transposes , φ ∈ Exp(F), of the multiplication operators φ :ψ ↦ φ ψ on Exp(F). A continuous operator T on is PDE-preserving for a set ℙ ⊆ Exp(F) if it...
Scattering theory for quantum dynamical semigroups. — II
Semi-Fredholm operators and semigroups associated with some classical operator ideals
Semi-Fredholm operators and semigroups associated with some classical operators ideals (II)
Singuläre Integraloperatoren inLp-Räumen.
s-numbers, eigenvalues and the trace theorem in Banach spaces
s-numbers of diagonal operators and Besov embeddings
Sobre la topología débil en componentes del ideal de los operadores p-compactos de Saphar con 1 < p < ∞.
Some remarks on the uniform approximation property in Banach spaces
Some results about absolute summability of operators in Banach spaces.
In order to study the absolute summability of an operator T we consider the set ST = {{xn} | ∑||Txn|| < ∞}. It is well known that an operator T in a Hilbert space is nuclear if and only if ST contains an orthonormal basis and it is natural to ask under which conditions two orthonormal basis define the same left ideal of nuclear operators. Using results about ST we solve this problem in the more general context of Banach spaces.
Some spaces of entire and nuclearly entire functions on a Banach space. I.
Some spaces of entire and nuclearly entire functions on a Banach space. II.
Spectral integration and spectral theory for non-Archimedean Banach spaces.
Spectral Invariance for Algebras of Pseudodifferential operators on Besov-Triebel-Lizorkin spaces.
Strictly Cosingular Operators on (DF)-Spaces.
Strongly compact algebras.
An algebra of bounded linear operators on a Hilbert space is said to be strongly compact if its unit ball is relatively compact in the strong operator topology. A bounded linear operator on a Hilbert space is said to be strongly compact if the algebra generated by the operator and the identity is strongly compact. This notion was introduced by Lomonosov as an approach to the invariant subspace problem for essentially normal operators. First of all, some basic properties of strongly compact algebras...
Suites de décomposition d'un espace de Banach à base inconditionnelle. Noyaux d'opérateurs définis sur certains espaces d'opérateurs
Tensor Product of Several Spaces and Nuclearity.