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Approximation in weighted Banach spaces of power series

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Part of the Lecture Notes in Mathematics book series (LNM,volume 1511)

Keywords

  • Banach Space
  • Power Series
  • Invariant Subspace
  • Banach Algebra
  • Weight Sequence

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References

  1. W.G. Bade, H.G. Dales and K.B. Laursen, Multipliers of radical Banach algebras of power series, Memoires Amer. Math.Soc.,49(1984), No. 303.

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  3. N.K. Nikolskii, Invariant subspaces of certain completely continuous operators, Vestnik Leningrad Univ.(7), 20(1965), 68–77.(Russian)

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  4. Marc P. Thomas, Closed ideals and biorthogonal systems in radical Banach algebras of power series, Proc. Edinburgh Math. Soc.,25(1982), 245–257.

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  5. Marc P. Thomas, Closed ideals of l1(w) when {wn} is star-shaped, Pacific J.Math., 105(1983),237–255.

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  6. Marc P. Thomas, A non-standard ideal of a radical Banach algebra of power series, Acta Math., 152(1984), 199–217.

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  7. D.V. Yakubovich, Invariant subspaces of weighted shift operators, Zapiski Nauk Sem.LOMI, 141(1985), 100–143 (Russian) = J.Soviet Math., 37(1987), 1323–1346.

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© 1992 Springer-Verlag

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Wadhwa, B.L., Yadav, B.S. (1992). Approximation in weighted Banach spaces of power series. In: Yadav, B.S., Singh, D. (eds) Functional Analysis and Operator Theory. Lecture Notes in Mathematics, vol 1511. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0093795

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  • DOI: https://doi.org/10.1007/BFb0093795

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-55365-6

  • Online ISBN: 978-3-540-47041-0

  • eBook Packages: Springer Book Archive