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Bases of certain nonreflexive spaces of functions

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Abstract

In this article we consider limiting (in a certain sense) spaces of some nonreflexive function spaces whose elements have unconditional expansions in terms of bases.

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Literature cited

  1. J. Marcinkiewicz, “Quelques theorems sur les series orthogonales,” Ann. Soc. Polon. Math.,16, 85–96 (1937).

    Google Scholar 

  2. R. E. A. C. Paley, “A remarkable system of orthogonal functions,” Proc. London Math. Soc.,34, 241–279 (1932).

    Google Scholar 

  3. S. Kaczmarz and H. Steinhaus, Theorie der Orthogonalreihen, Chelsea Publ. Co., New York (1951).

    Google Scholar 

  4. V. F. Gaposhkin, “On the existence of unconditional bases in Orlicz spaces,” Funktsional'. Analiz i Ego Prilozhen.,1, No. 4, 26–32 (1967).

    Google Scholar 

  5. S. V. Bochkarev, “On unconditional bases,” Matem. Zametki,1, No. 4, 391–398 (1967).

    Google Scholar 

  6. V. F. Gaposhkin, “On unconditional bases in Orlicz spaces,” Sibirsk. Matem. Zh.,9, No. 2, 280–287 (1968).

    Google Scholar 

  7. A. M. Olevskii, “Fourier series and Lebesgue functions,” Usp. Matem. Nauk,22, No. 3, 237–239 (1967).

    Google Scholar 

  8. S. Karlin, “Bases in Banach spaces,” Duke Math. J.,15, 971–985 (1948).

    Google Scholar 

  9. A. Pelczynski, “Projections in certain Banach spaces,” Studia Math.,19, 209–228 (1960).

    Google Scholar 

  10. P. L. Ul'yanov, “Some properties of series in the Haar system,” Matem. Zametki,1, No. 1, 17–24 (1967).

    Google Scholar 

  11. M. B. Petrovskaya, “On Haar series and functions in the class H 1ω ,” Sibirsk. Matem. Zh.,9, No. 4, 963–979 (1968).

    Google Scholar 

  12. L. A. Balashov, “On series in the Haar system,” Matem. Zametki,10, No. 4, 369–374 (1970).

    Google Scholar 

  13. M. A. Krasnosel'skii and Ya. B. Rutitskii, Convex Functions and Orlicz Spaces [in Russian], Fizmatgiz, Moscow (1958).

    Google Scholar 

  14. P. L. Ul'yanov, “Imbeddings of certain H ωp -classes,” Izv. Akad. Nauk SSSR, Ser. Matem.,32, No. 3, 649–686 (1968).

    Google Scholar 

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Authors and Affiliations

  1. Institute of Applied Mathematics of Tbilis State University, USSR

    G. E. Tkebuchava

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  1. G. E. Tkebuchava
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Translated from Matematicheskie Zametki, Vol. 19, No. 4, pp. 549–560, April, 1976.

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Tkebuchava, G.E. Bases of certain nonreflexive spaces of functions. Mathematical Notes of the Academy of Sciences of the USSR 19, 334–340 (1976). https://doi.org/10.1007/BF01156793

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  • DOI: https://doi.org/10.1007/BF01156793

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