𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Factorization theorems for some scales of operator ideals

✍ Scribed by Albrecht Pietsch


Publisher
John Wiley and Sons
Year
1980
Tongue
English
Weight
216 KB
Volume
97
Category
Article
ISSN
0025-584X

No coin nor oath required. For personal study only.

✦ Synopsis


In this paper we shall use the terminology introduced in (7). In particular, 2(E,P) denotes the set of all (bounded linear) operators from the BANACH space E into the BANACH space F.


πŸ“œ SIMILAR VOLUMES


Propagation Theorems for Some Classes of
✍ Jaouad Sahbani πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 293 KB

We study continuity properties of the boundary values of the resolvent of perturbations of certain pseudo-differential operators by using recent versions of the conjugate operator method. Our results are optimal on the Holder᎐Zygmund scale. In particular, three physical situations are included, nam

Factorization of operator valued Lp for
✍ LahcΓ¨ne Mezrag πŸ“‚ Article πŸ“… 2004 πŸ› John Wiley and Sons 🌐 English βš– 152 KB

## Abstract In [5], it is proved that a bounded linear operator __u__, from a Banach space __Y__ into an __L~p~__(__S, Ξ½__) factors through __L__~__p__1~ (__S, Ξ½__) for some __p__~1~ > 1, if __Y__\* is of finite cotype; (__S, Ξ½__) is a probability space for __p__ = 0, and any measure space for 0 <

Interchange Theorems for Hypergraphs and
✍ A.A. Chernyak πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 124 KB

The aim of this paper is to unify interchange theorems and extend them to hypergraphs. To this end sufficient conditions for equality of the l 1 -distance between equivalence classes and the l 1 -distance between corresponding order-type functions are provided. The generality of this result is demon

Kernels of Toeplitz Operators via Bourga
✍ Konstantin M. Dyakonov πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 170 KB

Using Bourgain's factorization theorem, we characterize the subspaces of H p , 1 p , that coincide with the kernels of Toeplitz operators. This is related to (but entirely independent of) earlier work of E. Hayashi. One consequence of our characterization is that, for some inner functions %, the cla