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Normal operators on the Banach space $L^p \left( { - \infty ,\infty } \right)$. part II: unbounded transformations


Author: Gregers L. Krabbe
Journal: Bull. Amer. Math. Soc. 66 (1960), 86-90
DOI: https://doi.org/10.1090/S0002-9904-1960-10409-0
Part I: Bull. Amer. Math. Soc., Volume 65, Number 4 (1959), 270--272
MathSciNet review: 0114130
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References [Enhancements On Off] (What's this?)

  • 1. William G. Bade, An operational calculus for operators with spectrum in a strip, Pacific J. Math. 3 (1953), 257–290. MR 0055579
  • 2. Nelson Dunford, A survey of the theory of spectral operators, Bull. Amer. Math. Soc. 64 (1958), 217–274. MR 0104865, https://doi.org/10.1090/S0002-9904-1958-10219-0
  • 3. 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
    Nelson Dunford and Jacob T. Schwartz, Linear operators. Part II, Wiley Classics Library, John Wiley & Sons, Inc., New York, 1988. Spectral theory. Selfadjoint operators in Hilbert space; With the assistance of William G. Bade and Robert G. Bartle; Reprint of the 1963 original; A Wiley-Interscience Publication. MR 1009163
    Nelson Dunford and Jacob T. Schwartz, Linear operators. Part III, Wiley Classics Library, John Wiley & Sons, Inc., New York, 1988. Spectral operators; With the assistance of William G. Bade and Robert G. Bartle; Reprint of the 1971 original; A Wiley-Interscience Publication. MR 1009164
  • 4. Einar Hille, On the generation of semi-groups and the theory of conjugate functions, Kungl. Fysiografiska Sällskapets i Lund Förhandlingar [Proc. Roy. Physiog. Soc. Lund] 21 (1952), no. 14, 13. MR 0045944
  • 5. Einar Hille and Ralph S. Phillips, Functional analysis and semi-groups, American Mathematical Society Colloquium Publications, vol. 31, American Mathematical Society, Providence, R. I., 1957. rev. ed. MR 0089373
  • 6. John L. Kelley, General topology, D. Van Nostrand Company, Inc., Toronto-New York-London, 1955. MR 0070144
  • 7. G. L. Krabbe, Normal operators on the Banach space L (—∞, ∞). Part I. Bounded operators, Bull. Amer. Math. Soc. vol. 65 (1959) pp. 270-272.


Additional Information

DOI: https://doi.org/10.1090/S0002-9904-1960-10409-0