참고문헌
- A. G. Aksoy, Q-compact sets and Q-compact maps, Math. Japon. 36 (1991), no. 1, 1-7.
- A. G. Aksoy and J. M. Almira, On approximation schemes and compactness, Proceedings of the first conference on classical and functional analysis, 5-24, Azuga-Romania, 2014.
- J. M. Almira and U. Luther, Compactness and generalized approximation spaces, Numer. Funct. Anal. Optim. 23 (2002), no. 1-2, 1-38. https://doi.org/10.1081/NFA-120003668
- K. Astala, On measures of noncompactness and ideal variations in Banach spaces, Ann. Acad. Sci. Fenn. Ser. A I Math. Dissertationes No. 29 (1980), 42 pp.
- Y. Brudnyi and N. Y. Kruglyak, A family of approximation spaces, in Studies in the theory of functions of several real variables, No. 2 (Russian), 15-42, Yaroslav. Gos. Univ., Yaroslavl, 1978.
- P. L. Butzer and K. Scherer, Approximations Prozesse und Intepolationsmethoden, B. I. Hochschulskripten, 826/826a, Bibliographisches Inst., Mannheim, 1968.
- B. Carl and I. Stephani, Entropy, compactness and the approximation of operators, Cambridge Tracts in Mathematics, 98, Cambridge Univ. Press, Cambridge, 1990. https://doi.org/10.1017/CBO9780511897467
- E. Dubinsky and M. S. Ramanujan, On λ-nuclearity, Mem. Amer. Math. Soc., No. 128, Providence, RI, 1972.
- M. Hasumi and G. L. Seever, The extension and the lifting properties of Banach spaces, Proc. Amer Math. Soc. 15 (1964), 773-775. https://doi.org/10.2307/2034595
- C. V. Hutton, On the approximation numbers of an operator and its adjoint, Math. Ann. 210 (1974), 277-280. https://doi.org/10.1007/BF01434282
- W. B. Johnson, H. P. Rosenthal, and M. Zippin, On bases, finite dimensional decompositions and weaker structures in Banach spaces, Israel J. Math. 9 (1971), 488-506. https://doi.org/10.1007/BF02771464
- J. Lindenstrauss and H. P. Rosenthal, The Lp spaces, Israel J. Math. 7 (1969), 325-349. https://doi.org/10.1007/BF02788865
- J. Lindenstrauss and L. Tzafriri, Classical Banach spaces. I, Ergebnisse der Mathematik und ihrer Grenzgebiete, Band 92, Springer, Berlin, 1977.
- E. Oja and S. Veidenberg, Principle of local reflexivity respecting nests of subspaces and the nest approximation properties, J. Funct. Anal. 273 (2017), no. 9, 2916-2938. https://doi.org/10.1016/j.jfa.2017.06.004
- A. Pietsch, Operator ideals, translated from German by the author, North-Holland Mathematical Library, 20, North-Holland, Amsterdam, 1980.
- A. Pietsch, Approximation spaces, J. Approx. Theory 32 (1981), no. 2, 115-134. https://doi.org/10.1016/0021-9045(81)90109-X
- A. Pietsch, Eigenvalues and s-numbers, Cambridge Studies in Advanced Mathematics, 13, Cambridge Univ. Press, Cambridge, 1987.
- F. Riesz, Uber lineare Funktionalgleichungen, Acta Math. 41 (1916), no. 1, 71-98. https://doi.org/10.1007/BF02422940
- W. Rudin, Functional Analysis, second edition, International Series in Pure and Applied Mathematics, McGraw-Hill, Inc., New York, 1991.
- V. Runde, A new and simple proof of Schauder's theorem, arXiv:1010.1298v8, 9 Mar 2011.