Literature Cited
P. A. Kornilov, “Rearrangements of conditionally convergent functional series,” Mat. Sb.,113, No. 4, 598–616 (1980).
P. A. Kornilov, “Linearity of the set of sums of a functional series,” Usp. Mat. Nauk, No. 2, 205–206 (1982).
M. I. Kadets, “Conditionally convergent series in Lp,” Usp. Mat. Nauk,9, No. 1, 107–109 (1954).
E. M. Nikishin, “Rearrangements of series in Lp,” Mat. Zametki,14, No. 1, 31–38 (1973).
M. A. Krasnosel'skii and Ya. V. Rutitskii, Convex Functions and Orlicz Spaces [in Russian], Fizmatgiz, Moscow (1958).
R. P. Maleev, “Conditionally convergent series in certain Banach lattices,” Dokl. Bolg. Akad. Nauk,32, No. 8, 1015–1018 (1979).
Additional information
Yaroslavl. Translated from Sibirskii Matematicheskii Zhurnal, Vol. 28, No. 3, pp. 140–148, May–June, 1987.
Rights and permissions
About this article
Cite this article
Kornilov, P.A. Conditionally convergent series of sequences and functions. Sib Math J 28, 463–470 (1987). https://doi.org/10.1007/BF00969579
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00969579