Banach lattices of continuous sections

Автор: Kusraev Anatoly G., Tabuev Soslan N.

Журнал: Владикавказский математический журнал @vmj-ru

Статья в выпуске: 4 т.14, 2012 года.

Бесплатный доступ

The aim of this note is to outline some application of ample continuous Banach bundles to the theory of Banach lattices.

Banach lattice, continuous banach bundle

Короткий адрес: https://sciup.org/14318398

IDR: 14318398

Список литературы Banach lattices of continuous sections

  • Gierz G. Darstellung von Banachverbanden durch Schnitte in Bundeln//Mitt. Math. Sem. Univ. Giessen.-1977.-Vol. 125.
  • Gierz G. Bundles of Topological Vector Spaces and Their Duality.-Berlin etc.: Springer-Verlag, 1982.
  • Gutman A. E. Banach bundles in the theory of lattice-normed spaces. I. Continuous Banach bundles//Siberian Adv. Math.-1993.-Vol. 3, № 3.-P. 1-55.
  • Gutman A. E. Banach bundles in the theory of lattice-normed spaces. II. Measurable Banach bundles//Siberian Adv. Math.-1993.-Vol. 3, № 4.-P. 8-40.
  • Ganiev I. G. Measurable bundles of lattices and their applications//Studies on functional analysis and its applications.-Moscow: Nauka, 2006.-P. 9-49.
  • Kusraev A. G. Measurable bundles of Banach lattices//Positivity.-2010.-Vol. 14.-P. 785-799.
  • Kusraev A. G. Dominated Operators.-Dordrecht: Kluwer, 2000.-446 p.
  • Lotz H. P. Extensions and liftings of positive linear mappings on Banach lattices//Trans. Amer. Math. Soc.-1975.-Vol. 211.-P. 85-100.
  • Cartwright D. I. Extension of positive operators between Banach lattices//Memoirs Amer. Math. Soc.-1975.-Vol. 164.-P. 1-48.
  • Haydon R. Injective Banach lattices//Math. Z.-1977.-Vol. 156.-P. 19-47.
  • Kusraev A. G. Boolean Valued Analysis Approach to Injective Banach Lattices.-Vladikavkaz: Southern Math. Inst. VSC RAS, 2011.-28 p.-(Preprint № 1).
  • Kusraev A. G. Boolean-valued analysis and injective Banach lattices//Doklady Ross. Akad. Nauk.-2012.-Vol. 444, № 2.-P. 143-145; Engl. transl.: Doklady Mathematics.-2012.-Vol. 85, № 3.-P. 341-343.
Еще
Статья научная