Strictly singular operators and their conjugates
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- by R. J. Whitley
- Trans. Amer. Math. Soc. 113 (1964), 252-261
- DOI: https://doi.org/10.1090/S0002-9947-1964-0177302-2
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References
- S. Banach, Opérations linéaires, Chelsea, New York, 1955.
- Mahlon M. Day, Normed linear spaces, Reihe: Reelle Funktionen, Springer-Verlag, Berlin-Göttingen-Heidelberg, 1958. MR 0094675 N. Dunford and J. Schwartz, Linear operators, Vol. I, Interscience, New York, 1958.
- Seymour Goldberg and Edward O. Thorp, On some open questions concerning strictly singular operators, Proc. Amer. Math. Soc. 14 (1963), 334–336. MR 145361, DOI 10.1090/S0002-9939-1963-0145361-3
- M. Ĭ. Kadec′, Linear dimension of the spaces $L_{p}$ and $l_{q}$, Uspehi Mat. Nauk 13 (1958), no. 6 (84), 95–98 (Russian). MR 0101486
- M. I. Kadec and A. Pełczyński, Bases, lacunary sequences and complemented subspaces in the spaces $L_{p}$, Studia Math. 21 (1961/62), 161–176. MR 152879, DOI 10.4064/sm-21-2-161-176
- Tosio Kato, Perturbation theory for nullity, deficiency and other quantities of linear operators, J. Analyse Math. 6 (1958), 261–322. MR 107819, DOI 10.1007/BF02790238
- A. Pełczyński, Projections in certain Banach spaces, Studia Math. 19 (1960), 209–228. MR 126145, DOI 10.4064/sm-19-2-209-228
- A. Pełczyński and Z. Semadeni, Spaces of continuous functions. III. Spaces $C(\Omega )$ for $\Omega$ without perfect subsets, Studia Math. 18 (1959), 211–222. MR 107806, DOI 10.4064/sm-18-2-211-222
- Robert Schatten, Norm ideals of completely continuous operators, Ergebnisse der Mathematik und ihrer Grenzgebiete, (N.F.), Heft 27, Springer-Verlag, Berlin-Göttingen-Heidelberg, 1960. MR 0119112
- Andrew Sobczyk, Extension properties of Banach spaces, Bull. Amer. Math. Soc. 68 (1962), 217–224. MR 144192, DOI 10.1090/S0002-9904-1962-10755-1
- Angus E. Taylor, Introduction to functional analysis, John Wiley & Sons, Inc., New York; Chapman & Hall, Ltd., London, 1958. MR 0098966
Bibliographic Information
- © Copyright 1964 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 113 (1964), 252-261
- MSC: Primary 47.10; Secondary 47.45
- DOI: https://doi.org/10.1090/S0002-9947-1964-0177302-2
- MathSciNet review: 0177302