Geodesic
On Subsets of the Space of Bounded Sequences
Matematičeskie zametki, Tome 109 (2021) no. 1, pp. 150-154

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Keywords: bounded sequence, almost convergent sequence, Sucheston functional, Banach limit, linear span, separating set. 
N. N. Avdeev. On Subsets of the Space of Bounded Sequences. Matematičeskie zametki, Tome 109 (2021) no. 1, pp. 150-154. http://geodesic.mathdoc.fr/item/MZM_2021_109_1_a13/
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[1] S. Mazur, “O metodach sumowalnosci”, Ann. Soc. Polon. Math. (Supplement), 1929, 102–107

[2] S. Banach, Théorie des opérations linéaires, Éditions Jacques Gabay \year 1993, Sceaux | MR

[3] L. Sucheston, Amer. Math. Monthly, 74 (1967), 308–311 | DOI | MR | Zbl

[4] G. G. Lorentz, Acta Math., 80 (1948), 167–190 | DOI | MR | Zbl

[5] E. M. Semenov, F. A. Sukochev, A. S. Usachev, Izv. RAN. Ser. matem., 78:3 (2014), 177–204 | DOI | MR | Zbl

[6] E. M. Semenov, F. A. Sukochev, Sib. matem. zhurn., 51:4 (2010), 904–910 | MR | Zbl

[7] J. Connor, Internat. J. Math. Math. Sci., 13:4 (1990), 775–777 | DOI | MR

[8] N. N. Avdeev, E. M. Semenov, “Ob asimptoticheskikh svoistvakh operatora Chezaro”, Voronezhskaya zimnyaya matematicheskaya shkola S. G. Kreina – 2018, Voronezh, Izd.-poligraf. tsentr “Nauchnaya kniga”, 2018, 107–109

[9] N. N. Avdeev, “O superpozitsii operatora sdviga i odnoi funktsii na prostranstve ogranichennykh posledovatelnostei”, Nekotorye voprosy analiza, algebry, geometrii i matematicheskogo obrazovaniya, 2018, no. 8, 20–21

[10] N. N. Avdeev, Matem. zametki, 105:3 (2019), 462–466 | DOI | Zbl