Relations between some constants associated with finite dimensional Banach spaces

Keywords

Mathematics, Banach space, Pure mathematics, Banach manifold, Eberlein–Šmulian theorem

References

• p-nukleare und p-integrale Abbildungen in BanachräumenArne Persson, Albrecht Pietsch — 1969
• Absolut p-summierende Abbildungen in normierten RäumenAlbrecht Pietsch — 1967
• Symmetric bases of locally convex spacesD. J. H. Garling — 1968
• Absolutely p-summing operators in Hilbert spaceD. Garling — 1970
• Absolutely summing operators in Lp spaces and their applicationsJoram Lindenstrauss, A. Pełczyński — 1968
• Some Parameters Associated with Finite-Dimensional Banach SpacesD. Rutovitz — 1965
• Banach spaces with the extension propertyJohn L. Kelley — 1952
• On the projection and macphail constants oflnp spacesY. Gordon — 1968
• Onp-absolutely summing constants of banach spacesY. Gordon — 1969
• Absolute and Unconditional Convergence in Normed Linear SpacesD. Rutovitz — 1962
• Projection ConstantsBenjamin W. Grunbaum — 1960

Cited by

• Volume Formulas in Lp-SpacesY. Gordon, Marius Junge — 1997
• Interpolation of operator ideals with an application to eigenvalue distribution problemsHermann König — 1978
• The Amalgamation Property in Classical Lebesgue-Riesz Spaces, Banach Spaces with Transitive and Almost Transitive Norms and Projection ConstantsE. D. Positsel'skii, Eugene Tokarev — 2002
• On the uniqueness of symmetric bases in finite dimensional Banach spacesCarsten Schütt — 1981
• Finite rank operators with large traceD. R. Lewis, Roger R. Smith — 1985
• Some geometrical properties of Banach spaces of polynomialsY. Gordon, S. Reisner — 1982
• Linear vs. nonlinear algorithms for linear problemsJakob Creutzig, P. Wojtaszczyk — 2004
• Eigenvalues of Integral Operators Defined by Analytic KernelsHermann König, Stefan Richter — 1984
• Type constants and (q, 2)-summing norms defined byn vectorsHermann König — 1980
• On projection methods for linear equations of the second kindEberhard Schock — 1974
• Bounds for projection constants and 1-summing normsHermann König, Nicole Tomczak-Jaegermann — 1990
• Applications of Banach ideals of operatorsJ. R. Retherford — 1975
• Compact groups of operators on proportional quotients ofl1nPiotr Mankiewicz — 1999
• Projections of normed linear spaces with closed subspaces of finite codimension as kernelsEndre Makai, Horst Martini — 2006
• Eigenvalues of p-summing and lp-type operators in Banach spacesWilliam B. Johnson, Hermann König, B. Maurey — 1979
• On the eigenvalues of (p, 2)-summing operators and constants associated with normed spacesHermann König, J. R. Retherford, Nicole Tomczak-Jaegermann — 1980
• On the projection constants of some topological spaces and some applicationsEntisarat M. Elshobaky, Sahar Mohamed Ali Abou Bakr, Wataru Takahashi — 2001
• On unconditional polynomial bases inLp and bergman spacesP. Wojtaszczyk — 1997
• AbsolutelyLexpq - Summing Norms of Diagonal Operators inlr and Limit Orders ofLexp - Summing OperatorsStefan Geiß — 2001
• Uniqueness of (Δ) bases and isometries of Banach spacesY. Gordon, Raphael Loewy — 1979

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