Symmetric subspaces of $l_1$ with large projection constants

• Autorzy: Bruce L. Chalmers , Grzegorz Lewicki
• Języki publikacji: EN

Abstrakty

EN

We construct k-dimensional (k ≥ 3) subspaces $V^k$ of $l_1$, with a very simple structure and with projection constant satisfying $λ(V^k) ≥ λ(V^k,l_1) > λ(l_2^{(k)})$.

Kategorie tematyczne

• 41A65: Abstract approximation theory (approximation in normed linear spaces and other abstract spaces)
• 47B99: None of the above, but in this section
• 41A35: Approximation by operators (in particular, by integral operators)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 1999
• Tom: 134
• Numer: 2
• Strony: 119-133

Daty

wydano

1999

otrzymano

1997-10-06

poprawiono

1998-09-11

poprawiono

1998-12-04

Twórcy

autor

Bruce L. Chalmers

• Department of Mathematics, University of California Riverside, California 92521, U.S.A.

autor

Grzegorz Lewicki

• Department of Mathematics, Jagiellonian University, Reymonta 4, 30-059 Kraków, Poland

Bibliografia

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• [CHM2] B. L. Chalmers and F. T. Metcalf, A characterization and equations for minimal projections and extensions, J. Operator Theory 32 (1994), 31-46.
• [CHPS] B. L. Chalmers, K. C. Pan and B. Shekhtman, When is the adjoint of a minimal projection also minimal, in: Approximation Theory (Memphis, Tenn., 1991), Lecture Notes in Pure and Appl. Math. 138, Dekker, 1992, 217-226.
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