No 1 (9): 7.

Mathematics and Mechanics

 2018

Scientific article
pdf-version

Timur A. Samusenko
Petrozavodsk State University
(Lenina, 33),
timur.a.samusenko@gmail.com

Normed lattices of measurable functions and order properties of the norm

Scientific adviser:
Shestakov Vladimir Alexandrovich
Paper submitted on: 06/08/2018;
Accepted on: 07/13/2018;
 Abstract. The article "Normed lattices of measurable functions and order properties of the norm" is devoted to some questions on the properties of a norm in normed spaces of measurable functions.
Keywords: ordinal properties of a norm, measurable functions

For citation: Samusenko, T. A. Normed lattices of measurable functions and order properties of the norm. StudArctic forum. 2018, 1 (9): 7.

References

[1] L. V. Kantorovich, G. P. Akilov. Functional Analysis / M .: The science. Ed. 3rd, 2004 - with. 752

[2] P. P. Zabreiko. Ideal spaces of functions / Bulletin of the Yaroslavl University, 2003., Issue 8, p. 12-52

[3] W. A. J. Luxemburg, A. C. Zaanen. Riesz spaces. Vol. I. North-Holland Mathematical Library. North-Holland Publishing Co., Amsterdam-London; Americam Elsevier Publishing Co., New York, 2005, p. 521

[4] T. A. Samusenko. Ordinal properties of a norm in spaces of measurable functions. Graduation qualification work, 2015

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