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Infinite tensor peoducts of locally convex spaces

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Literature cited

  1. A. Guichardet, “Produits tensoriels infinis et représentations des relations d'anticommutation,” Ann. Sci. École Norm. Super.,83, No. 1, 1–52 (1966).

    Google Scholar 

  2. A. Mallios, “Inductive limits and tensor products of topological algebras,” Math. Ann.,170, 214–220 (1967).

    Google Scholar 

  3. Z. Takeda, “Inductive limit and infinite direct product of operator algebras,” Tohoku Math. J.,7, 67–86 (1955).

    Google Scholar 

  4. Yu, M. Berezanskii and I. M. Gali, “Positive definite functions of an infinite number of variables in a layer,” Ukrainsk. Matem. Zh.,24, No. 4 (1972).

  5. Yu. M. Berezanskii and Yu. S. Samoilenko, “Nuclear spaces of functions of an infinite number of independent variables,” Ukrainsk. Matem. Zh.,25, No. 6 (1973).

  6. F. J. Murray and J. von Neumann, “On rings of operators,” Ann. Math.,37, 116–229 (1936).

    Google Scholar 

  7. R. Schatten, “A theory of cross-spaces,” Ann. Math. Studies,26 (1950).

  8. A. F. Ruston, “Direct products of Banach spaces and linear functional equations,” Proc. London Math. Soc.,3, No. 1, 327–384 (1951).

    Google Scholar 

  9. A. Grothendieck, “Produits tensoriels topologiques et espaces nucléaires,” Mem. Amer. Math. Soc.,16 (1955).

  10. J. von Neumann, “On infinite direct products,” Comp. Math.,6, 1–77 (1938).

    Google Scholar 

  11. A. Guichardet, “Produits tensoriels continus d'espaces et d'algèbres de Banach,” Commun. Math, Phys.,5, 262–287 (1967).

    Google Scholar 

  12. A. Guichardet and A. Wulfsohn, “Sur les produits tensoriels continus d'espaces hilbertiens,” J. Funct. Anal.,2, No. 4, 371–377 (1968).

    Google Scholar 

  13. N. Bourbaki, Algebra. Algebraic Structures. Linear and Multilinear Algebra [Russian translation], Fizmatgiz, Moscow (1962).

    Google Scholar 

  14. N. Bourbaki, Theory of Sets [Russian translation], Mir, Moscow (1965).

    Google Scholar 

  15. H. H. Schaefer, Topological Vector Spaces [Russian translation], Mir, Moscow (1971).

    Google Scholar 

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Authors and Affiliations

  1. Kiev Correspondence Faculty of the Odessa Electrotechnical Institute, USSR

    L. M. Korsunskii

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  1. L. M. Korsunskii
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 27, No. 1, pp. 13–23, January–February, 1975.

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Korsunskii, L.M. Infinite tensor peoducts of locally convex spaces. Ukr Math J 27, 8–15 (1975). https://doi.org/10.1007/BF01085834

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  • DOI: https://doi.org/10.1007/BF01085834

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