Factorization in Banach algebras and the general strict topology
HTML articles powered by AMS MathViewer
- by F. Dennis Sentilles and Donald Curtis Taylor PDF
- Trans. Amer. Math. Soc. 142 (1969), 141-152 Request permission
References
- R. Creighton Buck, Bounded continuous functions on a locally compact space, Michigan Math. J. 5 (1958), 95–104. MR 105611
- Paul J. Cohen, Factorization in group algebras, Duke Math. J. 26 (1959), 199–205. MR 104982
- H. S. Collins and W. H. Summers, Some applications of Hewitt’s factorization theorem, Proc. Amer. Math. Soc. 21 (1969), 727–733. MR 240636, DOI 10.1090/S0002-9939-1969-0240636-7
- John B. Conway, The strict topology and compactness in the space of measures. II, Trans. Amer. Math. Soc. 126 (1967), 474–486. MR 206685, DOI 10.1090/S0002-9947-1967-0206685-2
- Philip C. Curtis Jr. and Alessandro Figà-Talamanca, Factorization theorems for Banach algebras, Function Algebras (Proc. Internat. Sympos. on Function Algebras, Tulane Univ., 1965) Scott-Foresman, Chicago, Ill., 1966, pp. 169–185. MR 0203500
- S. L. Gulick, T. S. Liu, and A. C. M. van Rooij, Group algebra modules. II, Canadian J. Math. 19 (1967), 151–173. MR 222663, DOI 10.4153/CJM-1967-009-0
- Edwin Hewitt, The ranges of certain convolution operators, Math. Scand. 15 (1964), 147–155. MR 187016, DOI 10.7146/math.scand.a-10738
- B. E. Johnson, Continuity of centralisers on Banach algebras, J. London Math. Soc. 41 (1966), 639–640. MR 200741, DOI 10.1112/jlms/s1-41.1.639
- Charles E. Rickart, General theory of Banach algebras, The University Series in Higher Mathematics, D. Van Nostrand Co., Inc., Princeton, N.J.-Toronto-London-New York, 1960. MR 0115101
- Ralph A. Raimi, Compact transformations and the $k$-topology in Hilbert space, Proc. Amer. Math. Soc. 6 (1955), 643–646. MR 71743, DOI 10.1090/S0002-9939-1955-0071743-X
- Marc A. Rieffel, Induced Banach representations of Banach algebras and locally compact groups, J. Functional Analysis 1 (1967), 443–491. MR 0223496, DOI 10.1016/0022-1236(67)90012-2
- Marc A. Rieffel, On the continuity of certain intertwining operators, centralizers, and positive linear functionals, Proc. Amer. Math. Soc. 20 (1969), 455–457. MR 236705, DOI 10.1090/S0002-9939-1969-0236705-8
- A. P. Robertson and W. J. Robertson, Topological vector spaces, Cambridge Tracts in Mathematics and Mathematical Physics, No. 53, Cambridge University Press, New York, 1964. MR 0162118
- Walter Rudin, Representation of functions by convolutions, J. Math. Mech. 7 (1958), 103–115. MR 0104981, DOI 10.1512/iumj.1958.7.57009 D. Sentilles, Compact and weakly compact operators on $C{(S)_\beta }$, Illinios J. Math. (to appear).
- Donald Curtis Taylor, A characterization of Banach algebras with approximate unit, Bull. Amer. Math. Soc. 74 (1968), 761–766. MR 226413, DOI 10.1090/S0002-9904-1968-12035-X
- Nicholas Th. Varopoulos, Sur les formes positives d’une algèbre de Banach, C. R. Acad. Sci. Paris 258 (1964), 2465–2467 (French). MR 194915
- Ju-kwei Wang, Multipliers of commutative Banach algebras, Pacific J. Math. 11 (1961), 1131–1149. MR 138014, DOI 10.2140/pjm.1961.11.1131
Additional Information
- © Copyright 1969 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 142 (1969), 141-152
- MSC: Primary 46.10
- DOI: https://doi.org/10.1090/S0002-9947-1969-0247437-9
- MathSciNet review: 0247437