In this paper we extend the concept of almost summing operators to holomorphic mappings and obtain several coincidence and noncoincidence theorems for this class of mappings.
Almost summing mappings
β Scribed by D. Pellegrino
- Book ID
- 105755037
- Publisher
- Springer
- Year
- 2004
- Tongue
- English
- Weight
- 143 KB
- Volume
- 82
- Category
- Article
- ISSN
- 0003-889X
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π SIMILAR VOLUMES
## 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 (Β© 2010 WILEYβVCH Verlag GmbH & Co. KGaA, Weinheim)
## 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~__) β__f__(__a__))^β^~__j__=1~ is absolutely summable in __F__, whenever (__x~j~__)^β^~__j__=1~ is unconditionally summable (respectively,