A N N A L E S S O C IE T A T IS M A T H E M A T IC A L P O LO N A E Series I : C O M M E N TA TIO N E S M A TH EM ATTOAE X X I I I (1983) H O C Z N IK I P O L S K IE G O T O W A H Z Y ST W A M A TEM A TY C ZN EG (
Sé ria I : P R A C E M A T EM A T Y C Z N E X X I I I (1983)
J o sé
L.
Ru b io(Zaragoza)
Correction to “Nets oî subgroups in locally compact groups”
There is a mistake in the application of Minkowski’s inequality sug
gested on page 457 of [1 ]. As a consequence o f that, the following results stated in the paper should be corrected:
(a) In Theorem 2, the inequality
3 ОI Hj is only true when p = 1.
(c) Theorem 3, stating that for / e L 1 r\Lv (G) limSi = I in Lfoc(Q) only holds if G is compact or p = 1.
The rest of the paper is not influenced by the mistake. I wish to thank Professor H. G. Eeichtinger for having kindly pointed out to me this error.
[1] J . L . R u b io , Nets of subgroups in locally compact groups, Comment. Math. (Prace Matemat.) 20 (1978), 453-460.
(
2
.1
)GIB.
is only true when p = 1 .
(b) In Corollary 3, the result
j
Reference
IA C U L T A D D E C IE N C IA S Zaragoza, Spain
