Remarks on H. H. Schaefer’s conditions
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- by Taen Yu Dai PDF
- Proc. Amer. Math. Soc. 55 (1976), 35-36 Request permission
Abstract:
We present two algebraic conditions, each characterizing a partially ordered linear algebra as an algebra of real-valued functions.References
- Garrett Birkhoff, Lattice theory, 3rd ed., American Mathematical Society Colloquium Publications, Vol. XXV, American Mathematical Society, Providence, R.I., 1967. MR 0227053
- Taen-yu Dai, On some special classes of partially ordered linear algebras, J. Math. Anal. Appl. 40 (1972), 649–682. MR 316342, DOI 10.1016/0022-247X(72)90011-X
- Ralph DeMarr, A class of partially ordered linear algebras, Proc. Amer. Math. Soc. 39 (1973), 255–260. MR 313161, DOI 10.1090/S0002-9939-1973-0313161-3 N. Dunford and J. T. Schwartz, Linear operators. III: Spectral operators, Pure and Appl. Math., vol. 7, Interscience, New York, 1971.
- Helmut H. Schaefer, Spectral measures in locally convex algebras, Acta Math. 107 (1962), 125–173. MR 141992, DOI 10.1007/BF02545784
Additional Information
- © Copyright 1976 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 55 (1976), 35-36
- MSC: Primary 06A70
- DOI: https://doi.org/10.1090/S0002-9939-1976-0424639-9
- MathSciNet review: 0424639