Bipositive and Isometric Isomorphisms of Some Convolution Algebras
1965 ◽
Vol 17
◽
pp. 839-846
◽
Keyword(s):
Throughout this paper the term "space" will mean "Hausdorff locally compact space" and the term '"group" will mean "Hausdorff locally compact group." If G is a group and 1 ≤ p < ∞, Lp(G) denotes the usual Lebesgue space formed relative to left Haar measure on G. It is well known that L1(G) is an algebra under convolution, and that the same is true of Lp(G) whenever G is compact. We introduce also the space Cc(G) of complex-valued continuous functions f on G for each of which the support (supp f), is compact. The "natural" topology of CC(G) is obtained by regarding CC(G) as the inductive limit of its subspaces
2011 ◽
Vol 84
(2)
◽
pp. 177-185
1963 ◽
Vol 13
(4)
◽
pp. 295-296
◽
Keyword(s):
1977 ◽
Vol 29
(3)
◽
pp. 626-630
◽
Keyword(s):
1970 ◽
Vol 13
(4)
◽
pp. 497-499
◽
1994 ◽
Vol 116
(3)
◽
pp. 451-463
◽
2004 ◽
Vol 2004
(16)
◽
pp. 847-859
2004 ◽
Vol 47
(3)
◽
pp. 445-455
◽
1991 ◽
Vol 110
(1)
◽
pp. 137-142
1974 ◽
Vol 18
(2)
◽
pp. 236-238
◽
Keyword(s):
1964 ◽
Vol 16
◽
pp. 275-285
◽
Keyword(s):