A sequence algebra associated with distributions
1978 ◽
Vol 19
(1)
◽
pp. 39-49
Keyword(s):
New York
◽
If A = {am,n} is a regular summability matrix, the sequence s = {sn} is said to be A uniformly distributed (see L. Kuipers, H. Niederreiter, Uniform distribution of sequences, p. 221, John Wiley & Sons, New York, London, Sydney, Toronto, 1974), if(h = 1, 2, …). In this paper we examine sequences belonging to A*, where t ∈ A* if and only if t is bounded and s + t is A uniformly distributed whenever s is A uniformly distributed. By A′ are denoted those members t of A* such that at ∈ A* for every real a. The members of A′ form a Banach algebra, A* is not connected under the sup norm, but A′ is a component.
1966 ◽
Vol 62
(3)
◽
pp. 389-394
◽
Keyword(s):
1961 ◽
Vol 57
(2)
◽
pp. 271-273
Keyword(s):
1969 ◽
Vol 16
(3)
◽
pp. 245-250
◽
1985 ◽
Vol 37
(4)
◽
pp. 664-681
◽
Keyword(s):
1991 ◽
Vol 34
(2)
◽
pp. 321-323
1974 ◽
Vol 19
(1)
◽
pp. 59-69
◽
Keyword(s):
1979 ◽
Vol 22
(3)
◽
pp. 271-275
◽
Keyword(s):