A generalization of parallel addition.
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S.-L. Eriksson-Bique, H. Leutwiler (1989)
Aequationes mathematicae
Barcenas, Diomedes, Espinoza, Walter, Rojas, Edixon (2008)
Revista Colombiana de Matemáticas
Grzaslewicz, Ryszard (1981)
Portugaliae mathematica
Aleksei Lissitsin (2012)
Studia Mathematica
We consider convex versions of the strong approximation property and the weak bounded approximation property and develop a unified approach to their treatment introducing the inner and outer Λ-bounded approximation properties for a pair consisting of an operator ideal and a space ideal. We characterize this type of properties in a general setting and, using the isometric DFJP-factorization of operator ideals, provide a range of examples for this characterization, eventually answering a question...
T. Ando, Takashi Sekiguchi, T. Suzuki (1973)
Mathematische Zeitschrift
Kim, Choo-Whan (1979)
Portugaliae mathematica
Sulaiman, W.T. (2002)
International Journal of Mathematics and Mathematical Sciences
Dietrich Helmer (1981)
Manuscripta mathematica
Władysław A. Majewski, Marcin Marciniak (2006)
Banach Center Publications
A map φ: Mₘ(ℂ) → Mₙ(ℂ) is decomposable if it is of the form φ = φ₁ + φ₂ where φ₁ is a CP map while φ₂ is a co-CP map. It is known that if m = n = 2 then every positive map is decomposable. Given an extremal unital positive map φ: M₂(ℂ) → M₂(ℂ) we construct concrete maps (not necessarily unital) φ₁ and φ₂ which give a decomposition of φ. We also show that in most cases this decomposition is unique.
Kung-Fu Ng, Michel Duhoux (1981)
Mathematische Annalen
Ryszard Grzaslewicz (1986)
Mathematische Zeitschrift
Trien Bang Dang (1987)
Mathematische Zeitschrift
Choo-whan Kim (1976)
Mathematische Zeitschrift
Anzelm Iwanik (1978)
Colloquium Mathematicum
Ryszard Grzaslewicz (1982)
Mathematische Annalen
Ryszard Grząślewicz (1981)
Colloquium Mathematicae
A. Iwanik (1979)
Studia Mathematica
Wolfgang M. Ruess, Charles P. Stegall (1982)
Mathematische Annalen
Werner, Dirk (1984)
Proceedings of the 12th Winter School on Abstract Analysis
Grzaslewicz, Ryszard (1989)
Portugaliae mathematica
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