Wavelets as Unconditional Bases in L...(...).
The space of multipliers into
On highly nonintegrable functions and homogeneous polynomials
We construct a sequence of homogeneous polynomials on the unit ball in which are big at each point of the unit sphere . As an application we construct a holomorphic function on which is not integrable with any power on the intersection of with any complex subspace.
On complemented subspaces and unconditional bases in
On projections in spaces of bounded analytic functions with applications
Existence of some special bases in Banach spaces
Some remarks on the Gurarij space
On weakly compact operators from some uniform algebras
On linear properties of separable conjugate spaces of C*-algebras
Non-similarity of Walsh and trigonometric systems
We show that in for p ≠ 2 the constants of equivalence between finite initial segments of the Walsh and trigonometric systems have power type growth. We also show that the Riemann ideal norms connected with those systems have power type growth.
On values of homogeneous polynomials in discrete sets of points
-spaces, p≤1, and spline systems
Greediness of the Haar system in rearrangement invariant spaces
Banach spaces with finite dimensional expansions of identity and universal bases of finite dimensional subspaces
On projections and unconditional bases in direct sums of Banach spaces
Symmetric bases in Minkowski spaces
Extension of smooth subspaces in Lindenstrauss spaces
It follows from our earlier results [Israel J. Math., to appear] that in the Gurariy space G every finite-dimensional smooth subspace is contained in a bigger smooth subspace. We show that this property does not characterise the Gurariy space among Lindenstrauss spaces and we provide various examples to show that C(K) spaces do not have this property.
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