Cartesian and Polar Decompositions of Hypernormal Operators.
Casimir operators on pseudodifferential operators of several variables.
Cauchy operator on Bergman space of harmonic functions on unit disk
Cauchy Problems for Polynomial Operator Matrices on Abstract Energy Spaces.
Cauchy problems in weighted Lebesgue spaces
Global solvability and asymptotics of semilinear parabolic Cauchy problems in are considered. Following the approach of A. Mielke [15] these problems are investigated in weighted Sobolev spaces. The paper provides also a theory of second order elliptic operators in such spaces considered over , . In particular, the generation of analytic semigroups and the embeddings for the domains of fractional powers of elliptic operators are discussed.
C-Distribution semigroups
A class of C-distribution semigroups unifying the class of (quasi-) distribution semigroups of Wang and Kunstmann (when C = I) is introduced. Relations between C-distribution semigroups and integrated C-semigroups are given. Dense C-distribution semigroups as well as weak solutions of the corresponding Cauchy problems are also considered.
Centered operators
Centered weighted composition operators via measure theory
We describe the centered weighted composition operators on in terms of their defining symbols. Our characterizations extend Embry-Wardrop-Lambert’s theorem on centered composition operators.
Central decomposition of Poincaré-invariant nets of local field algebras and absence of spontaneous breaking of the Lorentz group
Central extension of mappings on von Neumann algebras.
Certain function spaces related to the metaplectic representation
Certain invariant subspaces for operators with rich eigenvalues.
Certain notes on the numerical range of an unbounded operator
Certain remarks on a class of evolution quasi-variational inequalities.
Certaines propriétés des opérateurs de Riesz
Cesaro asymptotic equipartition of energy in the coupled case.
Cesàro wedge and weak Cesàro wedge -spaces
In this paper we deal with Cesàro wedge and weak Cesàro wedge -spaces, and give several characterizations. Some applications of these spaces to general summability domains are also studied.
Chain-finite operators and locally chain-finite operators.
The problem we are concerned with in this research announcement is the algebraic characterization of chain-finite operators (global case) and of locally chain-finite operators (local case).
Champs d'algèbres duales et algèbres duales uniformes d'opérateurs sur l'espace de Hilbert
In the first part of this work, we establish some general properties of dual algebras and of direct integral dual algebras. In the second part, we give a complete description of singly generated uniform dual algebras of operators.
Chandrasekhar ansatz and the generalized total angular momentum operator for the Dirac equation in the Kerr-Newman metric.