1 Ocak 2020 Dergi makalesi Açık Erişim

Mustafayev, Heybetkulu

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    <subfield code="a">Let G be a locally compact abelian group and let M(G) be the measure algebra of G. A measure mu is an element of M(G) is said to be power bounded if sup(n &amp;gt;= 0) parallel to mu(n)parallel to(1) &amp;lt; infinity. Let T = {T-g : g is an element of G} be a bounded and continuous representation of G on a Banach space X. For any mu is an element of M(G), there is a bounded linear operator on X associated with mu, denoted by T-mu, which integrates T-g with respect to mu. In this paper, we study norm and almost everywhere behavior of the sequences {T-mu(n) x} (x is an element of X) in the case when mu, is power bounded. Some related problems are also discussed.</subfield>
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    <subfield code="a">Mustafayev, Heybetkulu</subfield>
    <subfield code="u">Van Yuzuncu Yil Univ, Fac Sci, Dept Math, Van, Turkey</subfield>
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    <subfield code="a">10.7146/math.scand.a-119601</subfield>
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    <subfield code="a">ON THE CONVERGENCE OF ITERATES OF CONVOLUTION OPERATORS IN BANACH SPACES</subfield>
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