Generation of equicontinuous semigroups by hermitian and sectorial operators. I
HTML articles powered by AMS MathViewer
- by Robert T. Moore PDF
- Bull. Amer. Math. Soc. 77 (1971), 224-229
References
- 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
- Tosio Kato, Perturbation theory for linear operators, Die Grundlehren der mathematischen Wissenschaften, Band 132, Springer-Verlag New York, Inc., New York, 1966. MR 0203473
- G. Lumer and R. S. Phillips, Dissipative operators in a Banach space, Pacific J. Math. 11 (1961), 679–698. MR 132403, DOI 10.2140/pjm.1961.11.679
- Robert T. Moore, Measurable, continuous and smooth vectors for semi-groups and group representations, Memoirs of the American Mathematical Society, No. 78, American Mathematical Society, Providence, R.I., 1968. MR 0229091
- R. T. Moore, Duality methods and perturbations of semigroups, Bull. Amer. Math. Soc. 73 (1967), 548–553. MR 222709, DOI 10.1090/S0002-9904-1967-11741-5
- Robert T. Moore, Banach algebras of operators on locally convex spaces, Bull. Amer. Math. Soc. 75 (1969), 68–73. MR 236723, DOI 10.1090/S0002-9904-1969-12147-6
- Robert T. Moore, Adjoints, numerical ranges, and spectra of operators on locally convex spaces, Bull. Amer. Math. Soc. 75 (1969), 85–90. MR 239448, DOI 10.1090/S0002-9904-1969-12154-3
- Robert T. Moore, Generation of equicontinuous semigroups by hermitian and sectorial operators. I, Bull. Amer. Math. Soc. 77 (1971), 224–229. MR 278114, DOI 10.1090/S0002-9904-1971-12693-9 9. Robert T. Moore, Operator theory on locally convex spaces. I: Banach algebras, states, and numerical ranges (in prep.).
- M. H. Stone, On one-parameter unitary groups in Hilbert space, Ann. of Math. (2) 33 (1932), no. 3, 643–648. MR 1503079, DOI 10.2307/1968538
- Kôsaku Yosida, Functional analysis, Die Grundlehren der mathematischen Wissenschaften, Band 123, Academic Press, Inc., New York; Springer-Verlag, Berlin, 1965. MR 0180824
Additional Information
- Journal: Bull. Amer. Math. Soc. 77 (1971), 224-229
- MSC (1970): Primary 4750, 4748; Secondary 4601
- DOI: https://doi.org/10.1090/S0002-9904-1971-12693-9
- MathSciNet review: 0278114