On the logarithm of a uniformly bounded operator

Krabbe, G. L.

doi:10.1090/S0002-9947-1956-0075557-1

On the logarithm of a uniformly bounded operator
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by G. L. Krabbe

Trans. Amer. Math. Soc. 81 (1956), 155-166

DOI: https://doi.org/10.1090/S0002-9947-1956-0075557-1

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References

Nelson Dunford, Spectral theory. I. Convergence to projections, Trans. Amer. Math. Soc. 54 (1943), 185–217. MR 8642, DOI 10.1090/S0002-9947-1943-0008642-1
Einar Hille, Functional Analysis and Semi-Groups, American Mathematical Society Colloquium Publications, Vol. 31, American Mathematical Society, New York, 1948. MR 0025077
Edgar R. Lorch, The integral representation of weakly almost-periodic transformations in reflexive vector spaces, Trans. Amer. Math. Soc. 49 (1941), 18–40. MR 3465, DOI 10.1090/S0002-9947-1941-0003465-X
Nelson Dunford, Spectral theory, Proceedings of the Symposium on Spectral Theory and Differential Problems, Oklahoma Agricultural and Mechanical College, Stillwater, Okla., 1951, pp. 203–208. MR 0043370
Edgar R. Lorch, The theory of analytic functions in normed Abelian vector rings, Trans. Amer. Math. Soc. 54 (1943), 414–425. MR 9090, DOI 10.1090/S0002-9947-1943-0009090-0
Frédéric Riesz and Béla Sz.-Nagy, Leçons d’analyse fonctionnelle, Akadémiai Kiadó, Académie des Sciences de Hongrie, Budapest, 1952 (French). MR 0050159
Angus E. Taylor, Spectral theory of closed distributive operators, Acta Math. 84 (1951), 189–224. MR 40582, DOI 10.1007/BF02414854
Stanisław Saks and Antoni Zygmund, Analytic functions, Monografie Matematyczne, Tom XXVIII, Polskie Towarzystwo Matematyczne, Warszawa-Wroclaw, 1952. Translated by E. J. Scott. MR 0055432
Marshall Harvey Stone, Linear transformations in Hilbert space, American Mathematical Society Colloquium Publications, vol. 15, American Mathematical Society, Providence, RI, 1990. Reprint of the 1932 original. MR 1451877, DOI 10.1090/coll/015
Béla de Sz. Nagy, On uniformly bounded linear transformations in Hilbert space, Acta Univ. Szeged. Sect. Sci. Math. 11 (1947), 152–157. MR 22309