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VOL. LXIX 1995 FASC. 1

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C O L L O Q U I U M M A T H E M A T I C U M

VOL. LXIX 1995 FASC. 1

ERRATUM TO

“ON CONVOLUTION OPERATORS WITH SMALL SUPPORT WHICH ARE FAR FROM BEING CONVOLUTION

BY A BOUNDED MEASURE”

(COLLOQ. MATH. 67 (1994), 33–60)

BY

EDMOND E. G R A N I R E R (VANCOUVER, BRITISH COLUMBIA)

On p. 35, row 31, delete “ultrathin”.

On p. 42, row 14, insert after “. . . p. 23).”: “By [LT], p. 103, A(F ) contains a complemented copy of ` 1 .”

On p. 55, row 6, insert between “a” and “function algebra”: “(not nec- essarily semisimple)”.

On p. 56, row 14, replace “v n

j

w 0 = 0 on F ” by “v n

j

w 0 ∈ J . Since if w 0 = 0 on the open set U 0 with e ∈ U 0 let i be such that F ∩ cl V n

j

⊂ F ∩ U 0 if j ≥ i. Now D = {x ∈ G : w 0 (x) 6= 0 and v n

j

(x) 6= 0} ⊂ (G ∼ U 0 ) ∩ cl V n

j

, a closed set in G. Thus F ∩ supp(w 0 v n

j

) ⊂ F ∩ cl D ⊂ (G ∼ U 0 ) ∩ cl V n

j

= ∅ if j ≥ i. Since supp w 0 v n

j

is compact and disjoint from F , w 0 v n

j

∈ J F ⊂ J if j ≥ i (here cl denotes closure).”

DEPARTMENT OF MATHEMATICS UNIVERSITY OF BRITISH COLUMBIA VANCOUVER, BRITISH COLUMBIA CANADA V6T 1Z2

Re¸ cu par la R´ edaction le 12.12.1994

[155]

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