On limits of scalar operators
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- by James E. Simpson PDF
- Trans. Amer. Math. Soc. 122 (1966), 163-176 Request permission
References
- William G. Bade, Weak and strong limits of spectral operators, Pacific J. Math. 4 (1954), 393–413. MR 63567
- William G. Bade, On Boolean algebras of projections and algebras of operators, Trans. Amer. Math. Soc. 80 (1955), 345–360. MR 73954, DOI 10.1090/S0002-9947-1955-0073954-0
- John Y. Barry, On the convergence of ordered sets of projections, Proc. Amer. Math. Soc., 5 (1954), 313–314. MR 0062340, DOI 10.1090/S0002-9939-1954-0062340-X
- Nelson Dunford, Spectral theory. II. Resolutions of the identity, Pacific J. Math. 2 (1952), 559–614. MR 51435 N. Dunford and J. Schwartz, Linear operators, Interscience, New York, 1958. D. A. Edwards and C. T. Ionescu Tulcea, Some remarks on commutative algebras of operators on Banach spaces, Trans. Amer. Math. Soc. 93 (1959), 541-551.
- S. R. Foguel, Sums and products of commuting spectral operators, Ark. Mat. 3 (1958), 449–461. MR 104154, DOI 10.1007/BF02589499
- S. R. Foguel, A perturbation theorem for scalar operators, Comm. Pure Appl. Math. 11 (1958), 293–295. MR 96977, DOI 10.1002/cpa.3160110303
- A. Grothendieck, Sur les applications linéaires faiblement compactes d’espaces du type $C(K)$, Canad. J. Math. 5 (1953), 129–173 (French). MR 58866, DOI 10.4153/cjm-1953-017-4 C. T. Ionescu Tulcea, Spectral operators on a locally convex space, (unpublished manuscript).
- C. Ionescu Tulcea, Spectral operators on locally convex spaces, Bull. Amer. Math. Soc. 67 (1961), 125–128. MR 123192, DOI 10.1090/S0002-9904-1961-10535-1
- Franz Rellich, Störungstheorie der Spektralzerlegung, Math. Ann. 113 (1937), no. 1, 677–685 (German). MR 1513115, DOI 10.1007/BF01571658
- Helmut H. Schaefer, Spectral measures in locally convex algebras, Acta Math. 107 (1962), 125–173. MR 141992, DOI 10.1007/BF02545784
Additional Information
- © Copyright 1966 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 122 (1966), 163-176
- MSC: Primary 47.40
- DOI: https://doi.org/10.1090/S0002-9947-1966-0193519-7
- MathSciNet review: 0193519