On bijective isometries
On Biorthogonal Systems and Total Sequences of Functionals.
On Biorthogonal Systems and Total Sequences of Functionals. II.
On biorthogonal systems whose functionals are finitely supported
We show that for each natural number n > 1, it is consistent that there is a compact Hausdorff totally disconnected space such that has no uncountable (semi)biorthogonal sequence where ’s are atomic measures with supports consisting of at most 2n-1 points of , but has biorthogonal systems where ’s are atomic measures with supports consisting of 2n points. This complements a result of Todorcevic which implies that it is consistent that such spaces do not exist: he proves that its is...
On BMO-regular couples of lattices of measurable functions
We introduce a new “weak” BMO-regularity condition for couples (X,Y) of lattices of measurable functions on the circle (Definition 3, Section 9), describe it in terms of the lattice , and prove that this condition still ensures “good” interpolation for the couple of the Hardy-type spaces corresponding to X and Y (Theorem 1, Section 9). Also, we present a neat version of Pisier’s approach to interpolation of Hardy-type subspaces (Theorem 2, Section 13). These two main results of the paper are...
On boundary behaviour of the Bergman projection on pseudoconvex domains
It is shown that on strongly pseudoconvex domains the Bergman projection maps a space of functions growing near the boundary like some power of the Bergman distance from a fixed point into a space of functions which can be estimated by the consecutive power of the Bergman distance. This property has a local character. Let Ω be a bounded, pseudoconvex set with C³ boundary. We show that if the Bergman projection is continuous on a space defined by weighted-sup seminorms and equipped with the topology...
On bounded approximation properties of Banach spaces
This survey features some recent developments concerning the bounded approximation property in Banach spaces. As a central theme, we discuss the weak bounded approximation property and the approximation property which is bounded for a Banach operator ideal. We also include an overview around the related long-standing open problem: Is the approximation property of a dual Banach space always metric?
On bounded biorthogonal systems in some function spaces
On bounded Dual-valued derivations on certain Banach algebras
On bounded module maps between Hilbert modules over locally -algebras.
On boundedly order-complete locally solid Riesz spaces
On boundedly-convex functions on pseudo-topological vector spaces.
On boundedness of maximal functions in Sobolev spaces.
On boundedness of superposition operators in spaces of Triebel-Lizorkin type
On boundedness of weighted Hardy operator in and regularity condition.
On Busemann surface area of the unit ball in Minkowski spaces.
On -algebras associated to certain endomorphisms of discrete groups.
On Calderón's conjecture.
On Calderón-Toeplitz Operators.
On C*-algebra extensions relative to a factor of type II...