Errata to the paper

(1)

ANNALES

POLONICI MATHEMATICI LXV.3 (1997)

Errata to the paper

“Banach–Saks property in some Banach sequence spaces”

(Ann. Polon. Math. 65 (1997), 193–202)

by Yunan Cui (Harbin), Henryk Hudzik (Pozna´ n) and Ryszard P luciennik (Zielona G´ora)

Page 196

⁵

: “|u| ≤ u

0

” should read “Φ

i

(u) ≤ u

0

”.

Page 196

¹⁷⁻²⁰

: “then for every ε > 0 and c > 0 there exists δ > 0 such that

|I

_Φ

(x + y) − I

Φ

(x)| < ε whenever I

Φ

(x) ≤ c and I

Φ

(y) < δ”

should read “then for every ε > 0 there exists δ > 0 such that |I

Φ

(x) − I

Φ

(y)| < ε whenever I

Φ

(x) ≤ 1, I

Φ

(y) ≤ 1 and I

Φ

(x − y) < δ”.

Page 198

11

: “a sequence (x

n

) and an element x in S(l

Φ

)” should read “a sequence (x

n

) in S(l

Φ

) and an element x in B(l

Φ

)”.

Page 198

3,4

: “|I

Φ

(x + y) − I

Φ

(x)| < η

0

/5 whenever I

Φ

(y) < σ

0

” should read

“|I

Φ

(x) − I

Φ

(y)| < η

0

/5 whenever I

Φ

(y) ≤ 1 and I

Φ

(x − y) <

σ

0

”.

Page 200

5,6

: “|I

Φ

(y + z) − I

Φ

(y)| < ε/2 whenever I

Φ

(y) ≤ 1 and I

Φ

(y) ≤ δ”

should read “|I

Φ

(y + z) − I

Φ

(y)| < ε/2 whenever I

Φ

(y) ≤ 1, I

Φ

(y + z) ≤ 1 and I

Φ

(z) < δ”.

Department of Mathematics Faculty of Mathematics

Harbin University of and Computer Science

Science and Technology Adam Mickiewicz University

Xuefu Road 52 Matejki 48/49

150080 Harbin, China 60-769 Pozna´n, Poland

E-mail: hudzik@math.amu.edu.pl Institute of Mathematics

T. Kotarbi´nski Pedagogical University Pl. S lowia´nski 9

65-069 Zielona G´ora, Poland E-mail: rplucien@wsp.zgora.pl

Re¸cu par la R´edaction le 28.2.1997

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