Corrigenda to: "Generalizations of theorems of Fejér and Zygmund on convergence and boundedness of conjugate series" (Studia Math. 57 (1976), 241-249)
Goes, G.
Studia Mathematica, Tome 129 (1998), p. 99-100 / Harvested from The Polish Digital Mathematics Library
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Proposition 4.1(i) of [1] is incorrect, i.e. the sequence of Cesàro-sections σnx of a sequence x in a translation invariant BK-space is not necessarily bounded. Theorem 4.2(ii) of [1] and the proof of Proposition 4.3 of [1] are corrected. All other statements of [1], including Proposition 4.3 itself, are correct.

Publié le : 1998-01-01
EUDML-ID : urn:eudml:doc:216543 
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     title = {Corrigenda to: "Generalizations of theorems of Fej\'er and Zygmund on convergence and boundedness of conjugate series" (Studia Math. 57 (1976), 241-249)},
     journal = {Studia Mathematica},
     volume = {129},
     year = {1998},
     pages = {99-100},
     zbl = {0346.42004},
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Goes, G. Corrigenda to: "Generalizations of theorems of Fejér and Zygmund on convergence and boundedness of conjugate series" (Studia Math. 57 (1976), 241-249). Studia Mathematica, Tome 129 (1998) pp. 99-100. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv130i1p99bwm/

[00000] [1] G. Goes, Generalizations of theorems of Fejér and Zygmund on convergence and boundedness of conjugate series, Studia Math. 57 (1976), 241-249. | Zbl 0346.42004

[00001] [2] A. Pechtl, Vector-valued integration in BK-spaces, Z. Anal. Anwendungen 15 (1996), 7-18. | Zbl 0854.46018

[00002] [3] K. Yosida, Functional Analysis, Springer, Berlin, 1965.