Bounded matrices and some algebras of operators
HTML articles powered by AMS MathViewer
- by Donal P. O’Donovan PDF
- Proc. Amer. Math. Soc. 58 (1976), 134-138 Request permission
Abstract:
A necessary and sufficient condition for a matrix to represent a continuous operator is given. Then a natural family of algebras of bounded operators is introduced.References
-
W. B. Arveson, Interpolation problems in nest algebras (preprint).
- R. G. Douglas, On the spectrum of Toeplitz and Wiener-Hopf operators, Abstract Spaces and Approximation (Proc. Conf., Oberwolfach, 1968) Birkhäuser, Basel, 1969, pp. 53–66. MR 0259638
- Philip Hartman, On completely continuous Hankel matrices, Proc. Amer. Math. Soc. 9 (1958), 862–866. MR 108684, DOI 10.1090/S0002-9939-1958-0108684-8
- Kenneth Hoffman, Banach spaces of analytic functions, Prentice-Hall Series in Modern Analysis, Prentice-Hall, Inc., Englewood Cliffs, N.J., 1962. MR 0133008
- Zeev Nehari, On bounded bilinear forms, Ann. of Math. (2) 65 (1957), 153–162. MR 82945, DOI 10.2307/1969670
- Donal P. O’Donovan, Weighted shifts and covariance algebras, Trans. Amer. Math. Soc. 208 (1975), 1–25. MR 385632, DOI 10.1090/S0002-9947-1975-0385632-1 J. Plastiras, Compact perturbations of ${C^ \ast }$-algebras, Dissertation, University of California, Berkeley, 1975.
- Donald Sarason, Generalized interpolation in $H^{\infty }$, Trans. Amer. Math. Soc. 127 (1967), 179–203. MR 208383, DOI 10.1090/S0002-9947-1967-0208383-8
- G. Zeller-Meier, Produits croisés d’une $C^{\ast }$-algèbre par un groupe d’automorphismes, J. Math. Pures Appl. (9) 47 (1968), 101–239 (French). MR 241994
Additional Information
- © Copyright 1976 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 58 (1976), 134-138
- MSC: Primary 47B37
- DOI: https://doi.org/10.1090/S0002-9939-1976-0410455-0
- MathSciNet review: 0410455