Nuclear Fr�chet spaces without bases III. Every nuclear Fr�chet space not isomorphic to ? admits a subspace and a quotient space without a strong finite dimensional decomposition

Author:

Bessaga C.,Dubinsky Ed

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Reference12 articles.

1. C. Bessaga, Nuclear Fr�chet spaces without bases. I. Variation on a theme of Djakov and Mitiagin. Bull. Acad. Polon. Sci.24. 471?473 (1976).

2. C. Bessaga andA. Pelczy?ski, Wlasno?ci baz w Przestrzeniach typuB 0. Prace Mat.3, 123?142 (1959).

3. P. Djakov andB. Mitiagin, Modified construction of nuclear Fr�chet spaces without basis. J. Functional Analysis23, 415?433 (1976).

4. Ed Dubinsky, Subspaces without bases in nuclear Fr�chet spaces. J. Functional Analysis26, 121?130 (1977).

5. Ed Dubinsky, A nuclear Fr�chet space without the bounded approximation property, to appear.

Cited by 5 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Closed subspaces without Schauder bases in non-archimedean Fréchet spaces;Indagationes Mathematicae;2001-06

2. Approximation Properties of Nuclear Frechet Spaces;Advances in the Theory of Fréchet Spaces;1989

3. Characterization of subspaces of certain sequence spaces;Mathematical Notes of the Academy of Sciences of the USSR;1986-01

4. Frechet Spaces with Nuclear Kothe Quotients;Transactions of the American Mathematical Society;1982-10

5. Approximation Properties in Nuclear Fréchet Spaces;Functional Analysis, Holomorphy and Approximation Theory, Proceedings of the Seminario de Analise Functional, Holomorfia e Teoria da Aproximaçāo;1982

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3