Abstract
We study Besicovitch-type spaces of generalized almost periodic functions. The main result is a theorem on representation of linear continuous functionals that is similar to the classical result of F. Riesz.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
B. M. Levitan, Almost Periodic Functions (GITTL, Moscow, 1953) [in Russian].
B. Z. Vulikh, A Brief Course in the Function Theory of One Real Variable (Nauka, Moscow, 1965) [in Russian].
A. S. Besicovitch and H. Bohr, “Almost Periodicity and General Trigonometric Series,” Acta Math. 57, 203–292 (1931).
V. A. Sadovnichii, Operator Theory (Mosk. Gos. Univ., Moscow, 1986) [in Russian].
F. Riesz and B. Sz.-Nagy, Leçons d’Analyse Fonctionnelle (Budapest, 1952; Inostr. Lit., Moscow, 1954).
L. V. Kantorovich and G. P. Akilov, Functional Analysis in Normed Spaces (Fizmatgiz, Moscow, 1959) [in Russian].
Author information
Authors and Affiliations
Additional information
Original Russian Text © A.L. Kuz’mina, 2008, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2008, No. 7, pp. 11–18.
About this article
Cite this article
Kuz’mina, A.L. L p(AP) spaces (1 ≤ p ≤ ∞) and their adjoint ones. Russ Math. 52, 8–14 (2008). https://doi.org/10.3103/S1066369X08070025
Received:
Published:
Issue Date:
DOI: https://doi.org/10.3103/S1066369X08070025