Fréchet Schwartz spaces and approximation properties.
Hypercyclic convolution operators on entire functions of Hilbert-Schmidt holomorphy type
Hyperinvariant subspaces for some operators on locally convex spaces.
Infinite dimensional Gegenbauer functionals
he paper is devoted to investigation of Gegenbauer white noise functionals. A particular attention is paid to the construction of the infinite dimensional Gegenbauer white noise measure , via the Bochner-Minlos theorem, on a suitable nuclear triple. Then we give the chaos decomposition of the L²-space with respect to the measure by using the so-called β-type Wick product.
Interpolation sets for Fréchet measures
We introduce various classes of interpolation sets for Fréchet measures-the measure-theoretic analogues of bounded multilinear forms on products of C(K) spaces.
Invariant subspaces for some operators on locally convex spaces
The invariant subspace problem for some operators and some operator algebras acting on a locally convex space is studied.
Isomorphic classification of the tensor products
It is proved, using so-called multirectangular invariants, that the condition αβ = α̃β̃ is sufficient for the isomorphism of the spaces and . This solves a problem posed in [14, 15, 1]. Notice that the necessity has been proved earlier in [14].
Iterations of Holomorphic Maps of Infinite Dimensional Homogeneous Domains.
Localization of bounded sets in tensor products.
The problem of topologies of Grothendieck is considered for complete tensor products of Fréchet spaces endowed with the topology defined by an arbitrary tensor norm. Some consequences on the stability of certain locally convex properties in spaces of operators are also given.
M-Ideals In Banach Spaces.
Mixed intersections of non quasi-analytic classes.
M-structure in tensor products of Banach spaces.
On Banach Spaces with the Gelfand-Philips Property.
On complemented copies of in spaces of operators, II
We show that as soon as embeds complementably into the space of all weakly compact operators from to , then it must live either in or in .
On complete, precompact and compact sets.
Completeness criterion of W. Robertson is generalized. Applications to vector valued sequences and to spaces of linear mappings are given.
On isomorphic classification of tensor products [Book]
On Lattice Properties of the Composition Operator.
On M-ideals in B(.
On operator ideals related to (p,σ)-absolutely continuous operators
We study tensor norms and operator ideals related to the ideal , 1 < p < ∞, 0 < σ < 1, of (p,σ)-absolutely continuous operators of Matter. If α is the tensor norm associated with (in the sense of Defant and Floret), we characterize the -nuclear and - integral operators by factorizations by means of the composition of the inclusion map with a diagonal operator , where r is the conjugate exponent of p’/(1-σ). As an application we study the reflexivity of the components of the ideal...
On projection constant problems and the existence of metric projections in normed spaces.