Perturbation theory for semi-groups of linear operators
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- by R. S. Phillips
- Trans. Amer. Math. Soc. 74 (1953), 199-221
- DOI: https://doi.org/10.1090/S0002-9947-1953-0054167-3
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References
- S. Banach, Théorie des opérations linéaires, Warsaw, 1932.
- Einar Hille, Functional Analysis and Semi-Groups, American Mathematical Society Colloquium Publications, Vol. 31, American Mathematical Society, New York, 1948. MR 0025077
- J. D. Newburgh, The variation of spectra, Duke Math. J. 18 (1951), 165–176. MR 51441
- Franz Rellich, Störungstheorie der Spektralzerlegung, Math. Ann. 116 (1939), no. 1, 555–570 (German). MR 1513244, DOI 10.1007/BF01597374
- Friedrich Riesz, Über lineare Funktionalgleichungen, Acta Math. 41 (1916), no. 1, 71–98 (German). MR 1555146, DOI 10.1007/BF02422940
- Angus E. Taylor, Analysis in complex Banach spaces, Bull. Amer. Math. Soc. 49 (1943), 652–669. MR 8644, DOI 10.1090/S0002-9904-1943-07968-2
- František Wolf, Analytic perturbation of operators in Banach spaces, Math. Ann. 124 (1952), 317–333. MR 50167, DOI 10.1007/BF01343573
- Kôsaku Yosida, On the differentiability and the representation of one-parameter semi-group of linear operators, J. Math. Soc. Japan 1 (1948), 15–21. MR 28537, DOI 10.2969/jmsj/00110015
Bibliographic Information
- © Copyright 1953 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 74 (1953), 199-221
- MSC: Primary 46.3X
- DOI: https://doi.org/10.1090/S0002-9947-1953-0054167-3
- MathSciNet review: 0054167