Representations for the Drazin inverse of bounded operators on Banach space.
Representations of groups on eigenspaces of invariant differential operators
Representations of H...(G) and invariant subspaces.
Representations of higher rank graph algebras.
Representations of modules over a *-algebra and related seminorms
Representations of a module over a *-algebra are considered and some related seminorms are constructed and studied, with the aim of finding bounded *-representations of .
Representations of Polish groups and continuity
In the first part of the paper, some criteria of continuity of representations of a Polish group in a Banach algebra are given. The second part uses the result of the first part to deduce automatic continuity results of Baire morphisms from Polish groups to locally compact groups or unitary groups. In the final part, the spectrum of an element in the range of a strongly but not norm continuous representation is described.
Representations of semigroups and extension of invariant linear functionals.
Representations with regular norm-behaviour of locally compact abelian semigroups
We prove that some regularity conditions on unbounded representations of topological abelian semigroups with countable spectral conditions induce a certain stability result extending the well-known Arendt-Batty-Lyubich-Vũ theorem.
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...
Reproducing kernel method for singular fourth order four-point boundary value problems.
Reproducing kernels, Engliš algebras and some applications
We introduce the notion of Engliš algebras, defined in terms of reproducing kernels and Berezin symbols. Such algebras were apparently first investigated by Engliš (1995). Here we give some new results on Engliš C*-algebras on abstract reproducing kernel Hilbert spaces and some applications to various questions of operator theory. In particular, we give applications to Riccati operator equations, zero Toeplitz products, and the existence of invariant subspaces for some operators.
Reproduzierende Kerne, Fundamentalkerne und Resolventenkerne.
Résolubilité locale d'un opérateur différentiel invariant du premier ordre
Resoluciones proyectivas del operador identidad y bases de Markushevich en ciertos espacios de Banach.
Résolution de l’équation où est linéaire et dérive d’un potentiel convexe
Résolution d'équations aux dérivées partielles dans des espaces de distributions d'ordre de régularité variable
L’objet de cet article est de prouver des théorèmes du genre suivant : “Soient un opérateur différentiel sur , une fonction à valeurs réelles, un nombre réel et une distribution à support compact : alors, si , ” ; l’espace est ici l’espace de Sobolev “d’ordre variable” associé à ; bien entendu, il faut des hypothèses sur , et . Les cas traités sont :1) certains opérateurs à coefficients variables déjà considérés dans le chapitre VIII du livre de L. Hörmander ;2) tous les opérateurs...
Résolution des équations semilinéaires avec la partie linéaire à noyau de dimension infinie via des applications A-propres [Book]
Résolution locale d'une équation différentielle
Resolution of a fixed point problem by an incremental method and application in nonlinear elasticity
Resolutions of the identity in certain Banach spaces.