𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Lorentz summing mappings

✍ Scribed by Mário C. Matos; Daniel Pellegrino

Publisher
John Wiley and Sons
Year
2010
Tongue
English
Weight
195 KB
Volume
283
Category
Article
ISSN
0025-584X

No coin nor oath required. For personal study only.

✦ Synopsis

Abstract

In this paper we introduce and investigate a nonlinear concept of Lorentz summing operators. Some examples, counterexamples and connections with the theory of absolutely summing operators are presented (© 2010 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

📜 SIMILAR VOLUMES

Nonlinear absolutely summing mappings
Nonlinear absolutely summing mappings
✍ Mário C. Matos 📂 Article 📅 2003 🏛 John Wiley and Sons 🌐 English ⚖ 238 KB

## Abstract A mapping __f__, defined on an open subset __A__ of a Banach space __E__, with values in another Banach space __F__, such that (__f__(__a__ + __x~j~__) −__f__(__a__))^∞^~__j__=1~ is absolutely summable in __F__, whenever (__x~j~__)^∞^~__j__=1~ is unconditionally summable (respectively,

Summing up
Summing up
📂 Article 📅 1964 🏛 John Wiley and Sons 🌐 English ⚖ 231 KB
When every multilinear mapping is multip
When every multilinear mapping is multiple summing
✍ Geraldo Botelho; Daniel Pellegrino 📂 Article 📅 2009 🏛 John Wiley and Sons 🌐 English ⚖ 126 KB

## Abstract In this paper we give a systematized treatment to some coincidence situations for multiple summing multilinear mappings which extend, generalize and simplify the methods and results obtained thus far. The application of our general results to the pertinent particular cases gives several

Almost Summing Polynomials
Almost Summing Polynomials
✍ Geraldo Botelho 📂 Article 📅 2000 🏛 John Wiley and Sons 🌐 English ⚖ 239 KB