Packing spheres in spaces
Paley-Wiener Type Theorems by Transmutations.
p-Analytic and p-quasi-analytic vectors
For every symmetric operator acting in a Hilbert space, we introduce the families of p-analytic and p-quasi-analytic vectors (p>0), indexed by positive numbers. We prove various properties of these families. We make use of these families to show that certain results guaranteeing essential selfadjointness of an operator with sufficiently large sets of quasi-analytic and Stieltjes vectors are optimal.
Paracommutators. Brief introduction, open problems.
We review the basic facts about the theory of paracommutators in Rn (sec S. Janson, J. Peetre, Trans. Am. Math. Soc. 305 (1988), 467504). We also give an interpretation of paracommutators from the point of view of group representations. This suggests a generalization to more general groups. Here we sketch a theory of paracommutators over stratified groups. This include the famous Heisenberg group. Finally, we take up the question of generalizing the notion of Schatten-von Neumann trace ideals to...
Paracommutators of Schatten- von Neumann class S..., 0 < p < 1.
Parametrization and Schur algorithm for the integral representation of Hankel forms in T-square
Partial differential equations in Banach spaces involving nilpotent linear operators
Let E be a Banach space. We consider a Cauchy problem of the type ⎧ in , ⎨ ⎩ in , j=0,...,k-1, where each is a given continuous linear operator from E into itself. We prove that if the operators are nilpotent and pairwise commuting, then the problem is well-posed in the space of all functions whose derivatives are equi-bounded on each bounded subset of .
Partial integral operators in Orlicz spaces with mixed norm
Partially defined σ-derivations on semisimple Banach algebras
Let A be a semisimple Banach algebra with a linear automorphism σ and let δ: I → A be a σ-derivation, where I is an ideal of A. Then Φ(δ)(I ∩ σ(I)) = 0, where Φ(δ) is the separating space of δ. As a consequence, if I is an essential ideal then the σ-derivation δ is closable. In a prime C*-algebra, we show that every σ-derivation defined on a nonzero ideal is continuous. Finally, any linear map on a prime semisimple Banach algebra with nontrivial idempotents is continuous if it satisfies the σ-derivation...
Pelczynski’s property for Banach spaces
Percolation transition for some excursion sets.
Periodicity in distribution. I: Discrete systems.
Perron root of a convex combination of a positive kernel and its adjoint
Perron-Frobenius theorem, large deviations, and random perturbations in random environments.
Perturbation of Maps in Locally Convex Spaces.
Perturbation of maximal accretive operators with right angle
Perturbation of the spectrum οf an essentially selfadjoint operator
The aim of this paper is to find estimates of the Hausdorff distance between the spectra of two nonselfadjoint operators. The operators considered are assumed to have their imaginary parts in some normed ideal of compact operators. In the case of the classical Schatten ideals the estimates are given explicitly.
Perturbation of Toeplitz operators and reflexivity
It was shown that the space of Toeplitz operators perturbated by finite rank operators is 2-hyperreflexive.
Perturbation results on semi-Fredholm operators and applications.
Perturbation series and defect correction for the refinement of approximate eigenelements of linear integral operators