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

Studia Mathematica (1998)

- Volume: 130, Issue: 1, page 99-100
- ISSN: 0039-3223

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topGoes, 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 130.1 (1998): 99-100. <http://eudml.org/doc/216543>.

@article{Goes1998,

abstract = {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.},

author = {Goes, G.},

journal = {Studia Mathematica},

language = {eng},

number = {1},

pages = {99-100},

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

url = {http://eudml.org/doc/216543},

volume = {130},

year = {1998},

}

TY - JOUR

AU - Goes, G.

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

JO - Studia Mathematica

PY - 1998

VL - 130

IS - 1

SP - 99

EP - 100

AB - 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.

LA - eng

UR - http://eudml.org/doc/216543

ER -

## References

top- [1] G. Goes, Generalizations of theorems of Fejér and Zygmund on convergence and boundedness of conjugate series, Studia Math. 57 (1976), 241-249. Zbl0346.42004
- [2] A. Pechtl, Vector-valued integration in BK-spaces, Z. Anal. Anwendungen 15 (1996), 7-18. Zbl0854.46018
- [3] K. Yosida, Functional Analysis, Springer, Berlin, 1965.