On isometries in linear metric spaces
On isomorphisms and hyper-reflexivity of closed subspace lattices.
On isomorphisms between certain subalgebras of B(X)
On isomorphisms of some Köthe function F-spaces
We prove that if Köthe F-spaces X and Y on finite atomless measure spaces (ΩX; ΣX, µX) and (ΩY; ΣY; µY), respectively, with absolute continuous norms are isomorphic and have the property (for µ = µX and µ = µY, respectively) then the measure spaces (ΩX; ΣX; µX) and (ΩY; ΣY; µY) are isomorphic, up to some positive multiples. This theorem extends a result of A. Plichko and M. Popov concerning isomorphic classification of L p(µ)-spaces for 0 < p < 1. We also provide a new class of F-spaces...
On isomorphisms of standard operator algebras
We show that between standard operator algebras every bijective map with a certain multiplicativity property related to Jordan triple isomorphisms of associative rings is automatically additive.
On iterates of strong Feller operators on ordered phase spaces
Let (X,d) be a metric space where all closed balls are compact, with a fixed σ-finite Borel measure μ. Assume further that X is endowed with a linear order ⪯. Given a Markov (regular) operator P: L¹(μ) → L¹(μ) we discuss the asymptotic behaviour of the iterates Pⁿ. The paper deals with operators P which are Feller and such that the μ-absolutely continuous parts of the transition probabilities are continuous with respect to x. Under some concentration assumptions on the asymptotic transition probabilities...
On iterations of Green type integrals for matrix factorizations of the Laplace operator
Convergence of special Green integrals for matrix factorization of the Laplace operator in is proved. Explicit formulae for solutions of -equation in strictly pseudo-convex domains in are obtained.
On iterative solution of nonlinear functional equations in a metric space.
On J. C. Alexander's theorem
On Janowski starlike functions.
On Jensen's inequality for self-adjoint operators in Hilbert space
On joint spectra
On joint spectra of commuting families of operators
On joint spectra of operators on a Banach space isomorphic to its square
On joint spectra of pairs of analytic Toeplitz operators
One computes the joint and essential joint spectra of a pair of multiplication operators with bounded analytic functions on the Hardy spaces of the unit ball in .
On Jordan *-derivations and an application
On -quasiclass operators.
On Kannan fixed point principle in generalized metric spaces.
On Kato non-singularity
An exactness lemma offers a simplified account of the spectral properties of the "holomorphic" analogue of normal solvability.
On Kelley's multiplicity function of an abelian von Neumann algebra