P—C.算子

阮吉寿; 葛诚

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P—C.算子

更新时间：2026-01-21

- P—C.算子
- Journal of Xinjiang University (Natural Science Edition in Chinese and English) Issue 4, (1987)
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- Published：1987
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[1]阮吉寿,葛诚.P—C.算子[J].新疆大学学报(自然科学版),1987(04):18-21.

阮吉寿, 葛诚. P—C.算子[J]. Journal of Xinjiang University (Natural Science Edition in Chinese and English), 1987, (4).
[1]阮吉寿,葛诚.P—C.算子[J].新疆大学学报(自然科学版),1987(04):18-21. DOI：

阮吉寿, 葛诚. P—C.算子[J]. Journal of Xinjiang University (Natural Science Edition in Chinese and English), 1987, (4). DOI：

摘要

设X为Banach空间

设{xn}n=1~∞为X中的无穷序列(其中允许{xn}n=1~∞中只有有限项不为0)

称之为lp(X)—序列

如果(sum from n=1 to ∞‖xn‖p)1/pp(X)表示所有lp(X)—序列所成的线性空间。特别当p=+∞时修改为:(?)‖xn‖p(X)按范数:‖{xp}n=1~∞‖p=(sum from n=1 to ∞‖xn‖p)1/p (1≤pn}n=1~∞‖_∞=(?)‖xn‖

Abstract

An operator T∈B(X

Y) is said to be a p—c0 operator

if T maps every sl

(X)-sequence into a c0-sequence Following the study of p-absolutely(?)summing operators initiated by Lindenstrauss and Pelczynski we introduce p—c0 operators and study its properties. As a by-product of this work we obtain an apparently new result about compact operators from Hilbert spaces. An example that Ⅱp(X

Y)(?)K(X

Y) is given when X and Y are nonreflexive Banach spaces.

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P—C.算子

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