• [1] William G. Bade, On Boolean algebras of projections and algebras of operators, Trans. Amer. Math. Soc. 80 (1955), 345–360. MR 0073954, https://doi.org/10.1090/S0002-9947-1955-0073954-0
• [2] Earl Berkson, A characterization of scalar type operators on reflexive Banach spaces, Pacific J. Math. 13 (1963), 365–373. MR 0155192
• [3] N. Bourbaki, Eléments de mathématique. XV. Première partie: Les structures fondamentales de l’analyse. Livre V: Espaces vectoriels topologiques. Chapitre I: Espaces vectoriels topologiques sur un corps valué. Chapitre II: Ensembles convexes et espaces localement convexes, Actualités Sci. Ind., no. 1189, Herman & Cie, Paris, 1953 (French). MR 0054161
• [4] James A. Clarkson, Uniformly convex spaces, Trans. Amer. Math. Soc. 40 (1936), no. 3, 396–414. MR 1501880, https://doi.org/10.1090/S0002-9947-1936-1501880-4
• [5] Nelson Dunford and Jacob T. Schwartz, Linear operators. Part I, Wiley Classics Library, John Wiley & Sons, Inc., New York, 1988. General theory; With the assistance of William G. Bade and Robert G. Bartle; Reprint of the 1958 original; A Wiley-Interscience Publication. MR 1009162
• [6] G. Lumer, Semi-inner-product spaces, Trans. Amer. Math. Soc. 100 (1961), 29–43. MR 0133024, https://doi.org/10.1090/S0002-9947-1961-0133024-2
• [7] G. Lumer, Spectral operators, hermitian operators, and bounded groups, Acta Sci. Math. (Szeged) 25 (1964), 75–85. MR 0169074
• [8] D. Milman, On some criteria for the regularity of spaces of the type (B), C. R. (Doklady) Acad. Sci. URSS (N.S.) 20 (1938), 243-246.
• [9] B. J. Pettis, A proof that every uniformly convex space is reflexive, Duke Math. J. 5 (1939), no. 2, 249–253. MR 1546121, https://doi.org/10.1215/S0012-7094-39-00522-3
• [10] V. Šmulian, Sur la dérivabilité de la norme dans l’espace de Banach, C. R. (Doklady) Acad. Sci. URSS (N. S.) 27 (1940), 643–648 (French). MR 0002704
• [11] Ivan Vidav, Eine metrische Kennzeichnung der selbstadjungierten Operatoren, Math. Z. 66 (1956), 121–128 (German). MR 0084733, https://doi.org/10.1007/BF01186601

Bibliography

[1]

W. G. Bade, On Boolean algebras of projections and algebras of operators, Trans. Amer. Math. Soc. 80 (1955), 345-360. MR 0073954 (17:513d)

[2]

E. Berkson, A characterization of scalar type operators on reflexive Banach spaces, Pacific J. Math. 13 (1963), 365-373. MR 0155192 (27:5131)

[3]

N. Bourbaki, Éléments de mathématique, Livre V, Espaces vectoriels topologiques, Hermann, Paris, 1953. MR 0054161 (14:880b)

[4]

J. A. Clarkson, Uniformly convex spaces, Trans. Amer. Math. Soc. 40 (1936), 396-414. MR 1501880

[5]

N. Dunford and J. T. Schwartz, Linear operators, Part I, General theory, Interscience, New York, 1958. MR 1009162 (90g:47001a)

[6]

G. Lumer, Semi-inner-product spaces, Trans. Amer. Math. Soc. 100 (1961), 29-43. MR 0133024 (24:A2860)

[7]

-, Spectral operators, Hermitian operators, and bounded groups, Acta Sci. Math. (Szeged) (to appear). MR 0169074 (29:6329)

[8]

D. Milman, On some criteria for the regularity of spaces of the type (B), C. R. (Doklady) Acad. Sci. URSS (N.S.) 20 (1938), 243-246.

[9]

B. J. Pettis, A proof that every uniformly convex space is reflexive, Duke Math. J. 5 (1939), 249-253. MR 1546121

[10]

V. Smulian, Sur la dérivabilité de la norme dans l'espace de Banach, C. R. (Doklady) Acad. Sci. URSS (N.S.) 27 (1940), 643-648. MR 0002704 (2:102f)

[11]

I. Vidav, Eine metrische Kennzeichnung der selbstadjungierten Operatoren, Math. Z. 66 (1956), 121-128. MR 0084733 (18:912a)