Czasopismo
Tytuł artykułu
Autorzy
Warianty tytułu
Języki publikacji
Abstrakty
We study classes of operators represented as a pointwise absolutely convergent series of simpler ones, starting with rank 1 operators. In this short note we address the question, how far the repetition of this procedure can lead.
Kategorie tematyczne
- 30H05: Bounded analytic functions
- 46Bxx: Normed linear spaces and Banach spaces; Banach lattices
- 30Hxx: Spaces and algebras of analytic functions
- 40F05: Absolute and strong summability (should also be assigned at least one other classification number in Section 40)
- 40Fxx: Absolute and strong summability (should also be assigned at least one other classification number in Section 40)
Wydawca
Czasopismo
Rocznik
Tom
Numer
Strony
603-608
Opis fizyczny
Daty
wydano
2012-04-01
online
2012-01-18
Twórcy
autor
- Kharkov V.N. Karazin National University
autor
- Kharkov V.N. Karazin National University
Bibliografia
- [1] Kadets V.M., A Course in Functional Analysis, Kharkov State University, Kharkov, 2006 (in Russian)
- [2] Kadets V., Kalton N., Werner D., Unconditionally convergent series of operators and narrow operators on L 1, Bull. London Math. Soc., 2005, 37(2), 265–274 http://dx.doi.org/10.1112/S0024609304003881
- [3] Lindenstrauss J., Tzafriri L., Classical Banach Spaces. I, Ergeb. Math. Grenzgeb., 92, Springer, Berlin-New York, 1977
- [4] Maslyuchenko O.V., Mykhaylyuk V.V., Popov M.M., A lattice approach to narrow operators, Positivity, 2009, 13(3), 459–495 http://dx.doi.org/10.1007/s11117-008-2193-z
- [5] Rosenthal H.P., Embeddings of L 1 in L 1, In: Conference in Modern Analysis and Probability, New Haven, June 8–11, 1982, Contemp. Math., 26, American Mathematical Society, Providence, 1984, 335–349
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.doi-10_2478_s11533-011-0145-5