Criteria for a measurable function to generate integral operators.
Criteria for Eberlein Compactness in Spaces of Continuous Functions.
Criteria for ultracontractivity
Criteria for weak compactness of vector-valued integration maps
Criteria are given for determining the weak compactness, or otherwise, of the integration map associated with a vector measure. For instance, the space of integrable functions of a weakly compact integration map is necessarily normable for the mean convergence topology. Results are presented which relate weak compactness of the integration map with the property of being a bicontinuous isomorphism onto its range. Finally, a detailed description is given of the compactness properties for the integration...
Criteria on boundedness of matrix operators in weighted spaces of sequences and their applications.
Criterion of -criticality for one term -order difference operators
We investigate the criticality of the one term -order difference operators . We explicitly determine the recessive and the dominant system of solutions of the equation . Using their structure we prove a criticality criterion.
Criterion of the integrality of the product of some linear operators.
Critical Neumann problem with competing Hardy potentials.
Critical orbits of symmetric functionals.
Critical point theorems and Ekeland type variational principle with applications.
Critical point theorems for nonlinear dynamical systems and their applications.
Critical points of convex perturbations of some indefinite quadratic forms and semi-linear boundary value problems at resonance
Cryptohermitian picture of scattering using quasilocal metric operators.
C-semigroups on Banach spaces and functional inequalities
C*-seminorms on partial *-algebras: an overview
The main facts about unbounded C*-seminorms on partial *-algebras are reviewed and the link with the representation theory is discussed. In particular, starting from the more familiar case of *-algebras, we examine C*-seminorms that are defined from suitable families of positive linear or sesquilinear forms, mimicking the construction of the Gelfand seminorm for Banach *-algebras. The admissibility of these forms in terms of the (unbounded) C*-seminorms they generate is characterized.
Cutting the loss of derivatives for solvability under condition
For a principal type pseudodifferential operator, we prove that condition implies local solvability with a loss of 3/2 derivatives. We use many elements of Dencker’s paper on the proof of the Nirenberg-Treves conjecture and we provide some improvements of the key energy estimates which allows us to cut the loss of derivatives from for any (Dencker’s most recent result) to 3/2 (the present paper). It is already known that condition doesnotimply local solvability with a loss of 1 derivative,...
Cyclic behavior of linear fractional composition operators.
Cyclic Blaschke products for composition operators.
Cyclic cocycles, renormalization and eta-invariants.
Cyclic space isomorphism of unitary operators
We introduce a new equivalence relation between unitary operators on separable Hilbert spaces and discuss a possibility to have in each equivalence class a measure-preserving transformation.