Abelian rings and spectra of operators on $l_ p$
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- Proc. Amer. Math. Soc. 7 (1956), 783-790 Request permission
References
- Nelson Dunford, Spectral theory. I. Convergence to projections, Trans. Amer. Math. Soc. 54 (1943), 185–217. MR 8642, DOI 10.1090/S0002-9947-1943-0008642-1
- G. H. Hardy and W. W. Rogosinski, Fourier series, Cambridge Tracts in Mathematics and Mathematical Physics, No. 38, Cambridge, at the University Press, 1950. 2nd ed. MR 0044660
- Philip Hartman and Aurel Wintner, The spectra of Toeplitz’s matrices, Amer. J. Math. 76 (1954), 867–882. MR 73859, DOI 10.2307/2372661
- Philip Hartman and Aurel Wintner, On the spectra of Toeplitz’s matrices, Amer. J. Math. 72 (1950), 359–366. MR 36936, DOI 10.2307/2372039
- Einar Hille, Functional Analysis and Semi-Groups, American Mathematical Society Colloquium Publications, Vol. 31, American Mathematical Society, New York, 1948. MR 0025077
- Edgar R. Lorch, The theory of analytic functions in normed Abelian vector rings, Trans. Amer. Math. Soc. 54 (1943), 414–425. MR 9090, DOI 10.1090/S0002-9947-1943-0009090-0
- R. S. Phillips, Semi-groups of operators, Bull. Amer. Math. Soc. 61 (1955), 16–33. MR 68122, DOI 10.1090/S0002-9904-1955-09854-9 F. Riesz, Les systèmes d’équations linéaires á une infinité d’inconnues, Paris, 1913.
- Stanisław Saks and Antoni Zygmund, Analytic functions, Monografie Matematyczne, Tom XXVIII, Polskie Towarzystwo Matematyczne, Warszawa-Wroclaw, 1952. Translated by E. J. Scott. MR 0055432
- S. B. Stečkin, On bilinear forms, Doklady Akad. Nauk SSSR (N.S.) 71 (1950), 237–240 (Russian). MR 0033868 O. Toeplitz, Zur Theorie der quadratischen Formen von unendlichvielen Veränderlichen, Nachr. Ges. Wiss. Göttingen (1910) pp. 489-506.
- Otto Toeplitz, Zur Theorie der quadratischen und bilinearen Formen von unendlichvielen Veränderlichen, Math. Ann. 70 (1911), no. 3, 351–376 (German). MR 1511625, DOI 10.1007/BF01564502 —, Zur Transformation der Scharen bilinearer Formen von unendlichvielen Veränderlichen, Nachr. Ges. Wiss. Göttingen (1907) pp. 110-115.
Additional Information
- © Copyright 1956 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 7 (1956), 783-790
- MSC: Primary 46.2X
- DOI: https://doi.org/10.1090/S0002-9939-1956-0082652-5
- MathSciNet review: 0082652