On cosine operator functions and one-parameter groups of operators
On countability of the spectrum of Banach space valued weakly almost-periodic functions
On coupled random fixed point results in partially ordered metric spaces
On coupling constant thresholds and related eigenvalue properties of Dirac operators.
On Cusp Forms in Character Varieties.
On cyclicity in weighted Dirichlet spaces.
On where has infinitely many “bumps”
On Davis-Kahan-weinberger Extension Theorem
On decomposably regular operators.
On decomposition of pairs of commuting isometries
A review of known decompositions of pairs of isometries is given. A new, finer decomposition and its properties are presented.
On Deddens΄s Theorem
On demicontinuity and hemicontinuity of nonlinear integral operators
On derivations and crossed homomorphisms
We discuss some results about derivations and crossed homomorphisms arising in the context of locally compact groups and their group algebras, in particular, L¹(G), the von Neumann algebra VN(G) and actions of G on related algebras. We answer a question of Dales, Ghahramani, Grønbæk, showing that L¹(G) is always permanently weakly amenable. Then we show that for some classes of groups (e.g. IN-groups) the homology of L¹(G) with coefficients in VN(G) is trivial. But this is no longer true, in general,...
On derivations over rings of triangular matrices
On determination of eigenvalues and eigenvectors of selfadjoint operators
Two simple methods for approximate determination of eigenvalues and eigenvectors of linear self-adjoint operators are considered in the following two cases: (i) lower-upper bound of the spectrum of is an isolated point of ; (ii) (not necessarily an isolated point of with finite multiplicity) is an eigenvalue of .
On differences of heat semigroups
On differences of Riesz homomorphisms.
On differences of self-adjoint semigroups
On different products of closed operators.
On Differential Inclusions with Unbounded Right-Hand Side
2000 Mathematics Subject Classification: 58C06, 47H10, 34A60.The classical Filippov’s Theorem on existence of a local trajectory of the differential inclusion [x](t) О F(t,x(t)) requires the right-hand side F(·,·) to be Lipschitzian with respect to the Hausdorff distance and then to be bounded-valued. We give an extension of the quoted result under a weaker assumption, used by Ioffe in [J. Convex Anal. 13 (2006), 353-362], allowing unbounded right-hand side.