Атомичность в инъективных банаховых решетках

Образец цитирования: Kusraev A. G. Atomicity in injective Banach lattices // Владикавк. мат. журн. 2015. Том 17. Выпуск 3. С. 44-52. DOI 10.23671/VNC.2017.3.7263

1. Kusraev A. G. Boolean valued analysis and injective Banach lattices // Dokl. RAS.---2012.---Vol. 444, № 2.---P. 143--145.

2. Kusraev A. G. Classification of injective Banach lattices // Dokl. RAS.---2013.---Vol. 453, № 1.---P. 12--16.

3. Kusraev A. G. and Kutateladze S. S. Boolean Valued Analysis: Selected Topics.---Vladikavkaz: Vladikavkaz Scientific Center Press, 2014.---iv+400 p.---(Trends in Science. The South of Russia).

4. Aliprantis C. D. and  Burkinshaw O. Positive Operators.---London etc.: Acad. Press Inc., 1985.---xvi+367 p.

5. Meyer-Nieberg P. Banach Lattices.---Berlin etc.: Springer, 1991.---xvi+395 p.

6. Lotz H. P. Extensions and liftings of positive linear mappings on Banach lattices // Trans. Amer. Math. Soc.---1975.---Vol. 211.---P. 85--100.

7. Cartwright D. I. Extension of positive operators between Banach lattices // Memoirs Amer. Math. Soc.---1975.---164 p.

8. Haydon R. Injective Banach lattices // Math. Z.---1974.---Vol. 156.---P. 19--47.

9. Kusraev A. G.  A Boolean transfer principle for injective Banach lattices // Sib. Mat. Zh.---2015.---Vol. 56, № 5.---[DOI 10.17377/smzh.2015.56.511].

10. Kusraev A. G. and Kutateladze S. S. Introduction to Boolean Valued Analysis.---M.: Nauka, 2005.---526 p.---[in Russian].

11. Gordon E. I. Real numbers in Boolean-valued models of set theory and \(K\)-spaces // Dokl. Akad. Nauk SSSR.---1977.---Vol. 237, № 4.---P. 773--775.

12. Kusraev A. G. Dominated Operators.---М.: Nauka, 2003.--- 619 p.---[in Russian].

13. Luxemburg W. A. J. and Zaanen A. C. Riesz Spaces. Vol. 1.---Amsterdam and London: North-Holland,  1971.---514 p.