Normal operators on the Banach space 𝐿^{𝑝}(-∞,∞). Part I. Bounded operators

Normal operators on the Banach space $L^p\left({- \infty , \infty} \right)$. Part I. Bounded operators

Author: Gregers L. Krabbe
Journal: Bull. Amer. Math. Soc. 65 (1959), 270-272
DOI: https://doi.org/10.1090/S0002-9904-1959-10340-2
Part II: Bull. Amer. Math. Soc., Volume 66, Number 2 (1960), 86--90
MathSciNet review: 0107171
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1. Nelson Dunford, A survey of the theory of spectral operators, Bull. Amer. Math. Soc. vol. 64 (1958) pp. 217-274. MR 104865
2. Einar Hille and R. S. Phillips, Functional analysis and semi-groups, Amer. Math. Soc. Colloquium Publications vol. 31, 1957. MR 89373
3. J. L. Kelley, General topology, New York, D. Van Nostrand, 1955. MR 70144
4. G. L. Krabbe, Convolution operators that satisfy the spectral theorem, Math. Z. vol. 70 (1959) pp. 446-462. MR 104152
5. M. A. Neumark, Involutive Algebren, Sowjetische Arbeiten zur Funktionanalysis, Berlin, 1954; Translated from the article of the same title in Uspehi Mat. Nauk (1948) vol. 3 (27) pp. 52-145. MR 62358

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DOI: https://doi.org/10.1090/S0002-9904-1959-10340-2