Posted in Transformations (Monday, October 13, 2008)
Written by Gilles Pisier. By Cambridge University Press.
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No comments about The Volume of Convex Bodies and Banach Space Geometry.
Posted in Transformations (Monday, October 13, 2008)
Written by Gottfried Kothe. By Springer.
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No comments about Topological Vector Spaces I (Grundlehren Der Mathematischen Wissenschaften).
Posted in Transformations (Monday, October 13, 2008)
Written by Jim Agler and John E. McCarthy. By American Mathematical Society.
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1 comments about Pick Interpolation and Hilbert Function Spaces.
- Classical and modern.
The "interpolation" part of the title refers to a classical result of G. Pick [1916], and R. Nevanlinna [1919]. They did it independently. Since the disk D (in one complex variable)is a model of a hyperbolic metric space, interpolation can't be done by just drawing straight lines. If two finite sets of points in D are given(same number of points in the two sets), the issue is to find an analytic function mapping D into itself, which at the same time matches up the points in one set with those in the other. The necessary and sufficient condition for the existence, and the solution, when it exists, is the classical issue. Since this, the framework has offered a wonderful testing ground for main trends in modern analysis, such as the theory of operators in Hilbert space, and for modern techniques in systems theory of engineering, and of scattering theory. The material is wonderfully presented, and the book serves as a lovely introduction to the subject. It is written by two authorities in the field, and helps grad students get entry into an exciting, modern, and very active research area.
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Posted in Transformations (Monday, October 13, 2008)
Written by W.B. Johnson and J. Lindenstrauss. By North Holland.
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No comments about Handbook of the Geometry of Banach Spaces : Volume 2.
Posted in Transformations (Monday, October 13, 2008)
Written by Armand Borel. By Princeton University Press.
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No comments about Seminar on Transformation Groups. (AM-46) (Annals of Mathematics Studies).
Posted in Transformations (Monday, October 13, 2008)
Written by Harry Dym Vladimir Bolotnikov. By American Mathematical Society.
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No comments about On Boundary Interpolation for Matrix Valued Schur Functions (Memoirs of the American Mathematical Society, No. 856) (Memoirs of the American Mathematical Society).
Posted in Transformations (Monday, October 13, 2008)
Written by Peter Schneider. By Springer.
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No comments about Nonarchimedean Functional Analysis (Springer Monographs in Mathematics).
Posted in Transformations (Monday, October 13, 2008)
Written by V. Barbu and Th. Precupanu. By Springer.
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No comments about Convexity and Optimization in Banach Spaces (Mathematics and its Applications).
Posted in Transformations (Monday, October 13, 2008)
Written by J. R. Retherford. By Cambridge University Press.
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No comments about Hilbert Space: Compact Operators and the Trace Theorem (London Mathematical Society Student Texts).
Posted in Transformations (Monday, October 13, 2008)
Written by Pilar Cembranos and Jose Mendoza. By Springer.
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No comments about Banach Spaces of Vector-Valued Functions (Lecture Notes in Mathematics).
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