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Similar bases and isomorphisms in Fréchet spaces

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References

  1. Arsove, M. G.: Proper bases and automorphisms in the space of entire functions. Proc. Amer. Math. Soc.8, 264–271 (1957).

    Google Scholar 

  2. Arsove, M. G.: Proper Pincherle bases in the space of entire functions. Quart. J. Math. (Oxford) (2)9, 40–54 (1958).

    Google Scholar 

  3. Arsove, M. G.: Proper bases and linear homeomorphisms in spaces of analytic functions. Math. Ann.135, 235–243 (1958).

    Google Scholar 

  4. Banach, S.: Théorie des opérations linéaires. Varsovie 1932.

  5. Bourbaki, N.: Espaces vectoriels topologiques; Chapitres I, II. Paris 1953.

  6. Ezrohi, I. A.: The general form of linear operations in spaces with a countable basis. Doklady Akad. Nauk SSSR (N.S.)59, 1537–1546 (1948).

    Google Scholar 

  7. Ganapathy Iyer, V.: On the space of integral functions (III). Proc. Amer. Math. Soc.3, 874–883 (1952).

    Google Scholar 

  8. Karlin, S.: Bases in a Banach space. Duke Math. J.15, 971–985 (1948).

    Google Scholar 

  9. Lorch, E. R.: Bicontinuous linear transformations in certain vector spaces. Bull. Amer. Math. Soc.45, 564–569 (1939).

    Google Scholar 

  10. Newns, W. F.: On the representation of analytic functions by infinite series. Phil. Trans. Roy. Soc. London (A)245, 429–468 (1953).

    Google Scholar 

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Arsove, M.G. Similar bases and isomorphisms in Fréchet spaces. Math. Ann. 135, 283–293 (1958). https://doi.org/10.1007/BF01343244

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