×
Yosida, Kôsaku; Hewitt, Edwin

Finitely, additive measures. (English) Zbl 0046.05401

Trans. Am. Math. Soc. 72, 46-66 (1952).
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
scan of Zbl 0046.05401

Cited in 4 Reviews
Cited in 208 Documents

Keywords:

differentiation and integration
PDF BibTeX XML Cite
\textit{K. Yosida} and \textit{E. Hewitt}, Trans. Am. Math. Soc. 72, 46--66 (1952; Zbl 0046.05401)
Full Text: DOI

References:

[1] Stefan Banach, Théorie des opérations linéaires, Monografje Matematyczne, Warsaw, 1932. · Zbl 0005.20901
[2] Garrett Birkhoff, Lattice Theory, American Mathematical Society Colloquium Publications, vol. 25, revised edition, American Mathematical Society, New York, N. Y., 1948. · Zbl 0033.10103
[3] S. Bochner and R. S. Phillips, Additive set functions and vector lattices, Ann. of Math. (2) 42 (1941), 316 – 324. · Zbl 0026.00105
[4] G. Fichtenholz and L. Kantorovič, Sur les opérations linéaires dans l’espace des fonctions bornées, Studia Math. vol. 5 (1934) pp. 69-98. · JFM 60.1074.05
[5] Hans Hahn and Arthur Rosenthal, Set Functions, The University of New Mexico Press, Albuquerque, N. M., 1948. · Zbl 0033.05301
[6] Paul R. Halmos, Measure Theory, D. Van Nostrand Company, Inc., New York, N. Y., 1950. · Zbl 0040.16802
[7] Edwin Hewitt, Certain generalizations of the Weierstrass approximation theorem, Duke Math. J. 14 (1947), 419 – 427. · Zbl 0029.30302
[8] Edwin Hewitt, Rings of real-valued continuous functions. I, Trans. Amer. Math. Soc. 64 (1948), 45 – 99. · Zbl 0032.28603
[9] T. H. Hildebrandt, On bounded linear functional operations, Trans. Amer. Math. Soc. 36 (1934), no. 4, 868 – 875. · Zbl 0010.30303
[10] Shizuo Kakutani, Concrete representation of abstract (\?)-spaces. (A characterization of the space of continuous functions.), Ann. of Math. (2) 42 (1941), 994 – 1024. · Zbl 0060.26604
[11] L. V. Kantorovič, B. Z. Vulih, and A. G. Pinsker, Funkcional\(^{\prime}\)nyĭ analiz v poluuporyadočennyh prostranstvah, Gosudarstv. Izdat. Tehn.-Teor. Lit., Moscow-Leningrad,], 1950 (Russian).
[12] M. G. Kreĭn and M. A. Rutman, Lineĭnye operatory, ostavlayuščie invariantnym konus v prostranstve Banaha, Uspehi Matematičeskih Nauk (3) vol. 1 (1948) pp. 3-95.
[13] O. M. Nikodým, Sur les suites convergentes de fonctions parfaitement additives d’ensemble abstrait, Monatshefte für Mathematik und Physik vol 40 (1933) pp. 427-432. · Zbl 0008.25003
[14] Stanisław Saks, Theory of the integral, Monografje Matematyczne, Warsaw, 1937. · Zbl 1196.28001
[15] Alfred Tarski, Ideale in vollständigen Mengenkörpern, I, Fund. Math. vol. 32 (1938) pp. 45-63. · Zbl 0021.10904
[16] Alfred Tarski, Ideale in vollständigen Mengenkörpern. II, Fund. Math. 33 (1945), 51 – 65 (German). · Zbl 0060.13306
[17] E. C. Titchmarsh, The theory of functions, Oxford University Press, 1939. · Zbl 0022.14602
[18] M. A. Woodbury, Bull. Amer. Math. Soc. Abstract 56-2-167.
[19] Kôsaku Yosida, Vector lattices and additive set functions, Proc. Imp. Acad. Tokyo 17 (1941), 228 – 232. · Zbl 0061.09801
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.