Operator theory and functional analysis have a long tradition, initially being guided by
problems from mathematical physics and applied mathematics. Much of the work in Banach …

Sergey V. Astashkin Page 1 The Rademacher System in Function Spaces Sergey V. Astashkin
Page 2 The Rademacher System in Function Spaces Page 3 Sergey V. Astashkin The …

We study several properties of the Banach lattices L p (m) and L pw (m) of p-integrable
scalar functions and weakly p-integrable scalar functions with respect to a countably additive …

Optimal Domains for Kernel Operators via Interpolation Page 1 Math. Nachr. 244 (2002), 47 –
63 Optimal Domains for Kernel Operators via Interpolation By Guillermo P. Curbera *) of Sevilla …

New features of the Banach function space L1w (v), that is, the space of all v-scalarly
integrable functions (with v any vector measure), are exposed. The Fatou property plays an …

The Rademacher system or the Bernoulli sequence of independent, identically and
symmetrically distributed random variables taking values±1 is a classical object of …

L1-spaces of vector measures defined on δ-rings Page 1 Arch. Math. 84 (2005) 432–443
0003–889X/05/050432–12 DOI 10.1007/s00013-005-1128-1 © Birkhäuser Verlag, Basel, 2005 …

Let ν be a countably additive vector measure defined on a σ-algebra and taking values in a
Banach space. In this paper we deal with the following three properties for the Banach lattice …

The Cesàro function spaces Ces p=[C, L p], 1≤ p≤∞, have received renewed attention in
recent years. Many properties of [C, L p] are known. Less is known about [C, X] when the …

The aim of this work is to contribute to the theory of (p, q)(p, q)-summing operators. We focus
on positive (p, q)(p, q)-summing operators, introduced by Blasco (Collect Math 37 (1): 13 …