One general method in operator theory

Автор: Kutateladze Semen Samsonovich

Журнал: Владикавказский математический журнал @vmj-ru

Статья в выпуске: 4 т.7, 2005 года.

Бесплатный доступ

An order bounded operator with target a Dedekind complete vector lattice is determined up to an orthomorphism from the kernels of its strata. Some applications to 2-disjoint operators are briefly discussed.

Короткий адрес: https://sciup.org/14318167

IDR: 14318167

Список литературы One general method in operator theory

  • Kusraev A. G., Kutateladze S. S. Boolean Valued Analysis.-Dordrecht: Kluwer Academic Publishers, 1999.-322 p.
  • Grothendieck A. Une caracterisation vectorielle-metrique des espaces L^1//Canad. J. Math.-1955.-V. 4.-P. 552-561.
  • Lindenstrauss J., Wulbert D. E. On the classification of the Banach spaces whose duals are L_1-spaces//J. Funct. Anal.-1969.-V. 4, № 3.-P. 32-349.
  • Kutateladze S. S. On differences of Riesz homomorphisms//Sibirsk. Mat. Zh.-2005.-V. 46, № 2.-P. 390-393.
  • Kutateladze S. S. On Grothendieck subspaces//Sibirsk. Mat. Zh.-2005.-V. 46, № 3.-P. 620-624.
  • Kutateladze S. S. Choquet boundaries in K-spaces//Russ. Math. Surveys.-1975.-V. 30, № 4.-P. 115-155.
  • Bernau S. J., Huijsmans C. B., de Pagter B. Sums of lattice homomorphisms//Proc. Amer. Math. Soc.-1992.-V. 115, № 1.-P. 151-156.
  • Kusraev A. G. Dominated Operators.-Dordrecht: Kluwer Academic Publishers.-2000.-446 p.
Статья научная