Corrigenda to: "Generalizations of theorems of Fejér and Zygmund on convergence and boundedness of conjugate series" (Studia Math. 57 (1976), 241-249)

• Autorzy: G. Goes
• Języki publikacji: EN

Abstrakty

EN

Proposition 4.1(i) of [1] is incorrect, i.e. the sequence of Cesàro-sections ${σ_n x}$ 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.

Kategorie tematyczne

• 46-++: Functional analysis
• 40-++: Sequences, series, summability
• 42-++: Harmonic analysis on Euclidean spaces

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 1998
• Tom: 130
• Numer: 1
• Strony: 99-100

Daty

wydano

1998

otrzymano

1997-11-24

Twórcy

autor

G. Goes

• Mathematisches Institut A, Universität Stuttgart Postfach 801140, D-70511 Stuttgart, Germany

Bibliografia

• [1] G. Goes, Generalizations of theorems of Fejér and Zygmund on convergence and boundedness of conjugate series, Studia Math. 57 (1976), 241-249.
• [2] A. Pechtl, Vector-valued integration in BK-spaces, Z. Anal. Anwendungen 15 (1996), 7-18.
• [3] K. Yosida, Functional Analysis, Springer, Berlin, 1965.