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Derivatives and Fréchet differentials
Author:
Max A. Zorn
Journal:
Bull. Amer. Math. Soc. 52 (1946), 133-137
MathSciNet review:
0014595
Full-text PDF
References |
Additional Information
- 1.
S. Banach, Théorie des opérations linéaires, Warsaw, 1932.
- 2.
E. Hille, Topics in the theory of semi-groups, Colloquium Lectures, 1944.
- 3.
S. Mazur and W. Orlicz, Grundlegende Eigenschaften der polynomischen Operationen, Part 1, Studia Mathematica vol. 5 (1934) p. 50.
- 4.
A. E. Taylor, Analytic functions in general analysis, Annali della R. Scuola Normale Superiore di Pisa (2) vol. 6 (1937).
- 5.
A. E. Taylor, Linear operations which depend analytically on a parameter, Ann. of Math. vol. 39 (1938).
- 6.
Max
A. Zorn, Characterization of analytic functions in Banach
spaces, Ann. of Math. (2) 46 (1945), 585–593.
MR
0014190 (7,251e)
- 7.
Max
A. Zorn, Gâteaux differentiability and essential
boundedness, Duke Math. J. 12 (1945), 579–583.
MR
0014596 (7,308a)
- 1.
- S. Banach, Théorie des opérations linéaires, Warsaw, 1932.
- 2.
- E. Hille, Topics in the theory of semi-groups, Colloquium Lectures, 1944.
- 3.
- S. Mazur and W. Orlicz, Grundlegende Eigenschaften der polynomischen Operationen, Part 1, Studia Mathematica vol. 5 (1934) p. 50.
- 4.
- A. E. Taylor, Analytic functions in general analysis, Annali della R. Scuola Normale Superiore di Pisa (2) vol. 6 (1937).
- 5.
- A. E. Taylor, Linear operations which depend analytically on a parameter, Ann. of Math. vol. 39 (1938).
- 6.
- M. A. Zorn, Characterization of analytic functions in Banach spaces, Ann. of Math. vol. 46 (1945). MR 14190
- 7.
- M. A. Zorn, Gâteaux differentiability and essential boundedness (to appear in Duke Math. J.). MR 14596
Additional Information
DOI:
http://dx.doi.org/10.1090/S0002-9904-1946-08524-9
PII:
S 0002-9904(1946)08524-9
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