Proper bases and linear homeomorphisms in spaces of analytic functions. (English) Zbl 0081.10802

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[1] Arsove, M. G.: Proper bases and automorphisms in the space of entire functions. Proc. Amer. Math. Soc.8, 264-271 (1957). · Zbl 0077.31401
[2] Arsove, M. G.: Proper Pincherle bases in the space of entire functions. Quart. J. Math. (Oxford) (2)9, 40-54 (1958). · Zbl 0082.05604
[3] Arsove M. G.: Similar bases and isomorphisms in Fréchet spaces. Math. Ann.135, (1958). · Zbl 0081.10901
[4] Banach, S.: Théorie des opérations linéaires. Varsovie 1932.
[5] Bourbaki, N.: Espaces vectoriels topologiques; Chapitres I, II. Paris 1953. · Zbl 0050.10703
[6] Ganapathy Iyer, V.: On the space of integral functions (III). Proc. Amer. Math. Soc.3, 874-883 (1952). · Zbl 0049.08303
[7] Haplanov, M. G.: Linear transformations of analytic spaces. Doklady Akad. Nauk SSSR80, 21-24 (1951).
[8] Haplanov, M. G.: A matrix criterion for a basis in the space of analytic functions. Doklady Akad. Nauk SSSR80, 177-180 (1951).
[9] Hardy, G. H.: On the mean modulus of an analytic function. Proc. London Math. Soc.14, 269-277 (1915). · JFM 45.1331.03
[10] Karlin, S.: Bases in a Banach space. Duke Math. J.15, 971-985 (1948). · Zbl 0032.03102
[11] Knopp, K.: Theory and application of infinite series. London 1928. · JFM 54.0222.09
[12] Köthe, G.: Dualität in der Funktionentheorie. J. reine angew. Math.191, 30-49 (1953). · Zbl 0050.33502
[13] Newns, W. F.: On the representation of analytic functions by infinite series. Phil. Trans. Roy. Soc. London (A)245, 429-468 (1953). · Zbl 0050.07702
[14] Toeplitz, O.: Die linearen vollkommenen Räume der Funktionentheorie. Comm. Math. Helv.23, 222-242 (1949). · Zbl 0035.07301
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