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Orthogonalization of bases in some classes of nuclear spaces

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Literature Cited

  1. V. P. Kondakov, “Orthogonalization of bases in various spaces of analytic functions,” Proceedings of the International Conference on Complex Analysis and Applications, Varna, May 10–16, 1987, Institute of Mathematics of Bulgarian Academy of Sci., Sofia (1987), p. 109.

    Google Scholar 

  2. V. P. Zakharyuta and Kadampatta, “On the existence of extendible bases in spaces of functions analytic on compact sets,” Mat. Zametki,27, No. 5, 701–713 (1980).

    Google Scholar 

  3. N. M. Zobin, “Studies on the theory of nuclear spaces,” Candidate's Dissertation, Phys.-Math. Sciences, Voronezh (1975).

  4. M. M. Dragilev, “Proper bases in nuclear spaces,” Mat. Sb.,68, No. 2, 152–173 (1965).

    Google Scholar 

  5. V. P. Kondakov, Problems of Geometry of Non-Normable Spaces [in Russian], Publ. of Rostov State University, Rostov upon Don (1983).

    Google Scholar 

  6. V. P. Zakharyuta, “Isomorphism of cartesian products of linear topological spaces,” Funkts. Anal. Prilozhen.,4, No. 2, 87–89 (1970).

    Google Scholar 

  7. V. P. Zakharyuta, “Quasiequivalence of bases in finite centers of Hilbert scales,” Dokl. Akad. Nauk SSSR,180, No. 4, 786–788 (1968).

    Google Scholar 

  8. P. B. Djakov and Ed. Dubinsky, “Complemented block subspaces of Köthe spaces,” Serdica Bulgaricae math. publicationes,14, 278–282 (1988).

    Google Scholar 

  9. A. Pietsch, Nuclear Locally Convex Spaces [Russian translation], Mir, Moscow (1967).

    Google Scholar 

  10. M. Hall, Combinatorics [Russian translation], Mir, Moscow (1970).

    Google Scholar 

  11. J. Krone, “Existence of bases and the dual splitting relation for Frechet spaces,” Preprint, Gesamthochschule, Wuppertal (1988).

  12. A. Aytuna, J. Krone, and T. Terzioglu, “Complemented infinite type power series subspaces of nuclear Frechet spaces,” Preprint, Wuppertal (1988).

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Rostov-on-Don. Translated from Sibirskii Matematicheskii Zhurnal, Vol. 31, No. 4, pp. 77–89, July–August, 1990.

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Kondakov, V.P. Orthogonalization of bases in some classes of nuclear spaces. Sib Math J 31, 593–604 (1990). https://doi.org/10.1007/BF00970629

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  • DOI: https://doi.org/10.1007/BF00970629

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