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On perfect symmetric BK spaces

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References

  1. Arsove, M. G.: Similar bases and isomorphisms in Fréchet space. Math. Ann.135, 283–293 (1958).

    Google Scholar 

  2. Cooke, R. G.: Infinite Matrices and sequence spaces. New York: Mac Millan 1950.

    Google Scholar 

  3. Dunford, N., andJ. T. Schwartz: Linear operators part I. New York: Interscience 1958.

    Google Scholar 

  4. Hardy, G. H., J. E. Littlewood, andG. Polya: Inequalities. Cambridge: University Press 1934.

    Google Scholar 

  5. Köthe, G., u.O. Toeplitz: Lineare Räume mit unendlich vielen Koordinaten und Ringe unendlicher Matrizen. J. Math.171, 193–226 (1934).

    Google Scholar 

  6. Ruckle, W.: On the construction of sequence spaces that have Schauder bases. Canadian Math. J. (to appear).

  7. -- Symmetric coordinate spaces and symmetric bases (to appear).

  8. Sargent, W. L. C.: Some sequence spaces related to thel pspaces. J. London Math.35, 161–171 (1960).

    Google Scholar 

  9. —— On sectionally bounded BK-spaces. Math. Z.83, 57–66 (1964).

    Google Scholar 

  10. Singer, I.: On Banach spaces with symmetric basis. Rev. Math. Pures Appl.6, 159–166 (1961) (Russian).

    Google Scholar 

  11. -- Some characterizations of symmetric bases. Bull. Acad. Pol. Sci. Serie Math. Astr. Phys.10 (1962).

  12. Wilansky, A.: Functional analysis. New York: Blaisdell 1964.

    Google Scholar 

  13. Garling, D. J. H.: On symmetric sequence spaces. Proc. London Math. Soc. (3),16, 85–106 (1966).

    Google Scholar 

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  1. Department of Mathematics, Lehigh University, 18015, Betlehem, Pennsylvania, USA

    William Ruckle

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  1. William Ruckle
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Ruckle, W. On perfect symmetric BK spaces. Math. Ann. 175, 121–126 (1968). https://doi.org/10.1007/BF01418767

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