Abstract
A basis\(\left\{ {x_n } \right\}_{n = 1}^\infty \) is constructed inc 0 such that there exists no bounded linear projection ofc 0 onto the subspace spanned by a certain subsequence\(\left\{ {x_{n_k } } \right\}_{k = 1}^\infty \) of\(\left\{ {x_n } \right\}_{n = 1}^\infty \).
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
B. Grünbaum,Projection constants, Trans. Amer. Math. Soc.95 (1960), 441.
J. Lindenstrauss,Extension of compact operators, Mem. Amer. Math. Soc.48 (1964).
A. Pełczyński,Some open questions in functional analysis, a lecture given to Louisiana State University (dittoed notes).
Author information
Authors and Affiliations
Additional information
This is part of the author’s Ph.D. thesis prepared at the Hebrew University of Jerusalem under the suppervision of Professor A. Dvoretzky and Dr. J. Lindenstrauss. The author wishes to thank Dr. Lindenstrauss for his helpful advice.
Rights and permissions
About this article
Cite this article
Zippin, M. On a certain basis inc 0 . Israel J. Math. 4, 199–204 (1966). https://doi.org/10.1007/BF02760078
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF02760078