Displaying similar documents to “Intersections of closed balls and geometry of Banach spaces.”

Asplund Functions and Projectional Resolutions of the Identity

Zemek, Martin (2000)

Serdica Mathematical Journal

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*Supported by the Grants AV ˇCR 101-97-02, 101-90-03, GA ˇCR 201-98-1449, and by the Grant of the Faculty of Civil Engineering of the Czech Technical University No. 2003. We further develop the theory of the so called Asplund functions, recently introduced and studied by W. K. Tang. Let f be an Asplund function on a Banach space X. We prove that (i) the subspace Y := sp ∂f(X) has a projectional resolution of the identity, and that (ii) if X is weakly Lindel¨of determined,...

Thom polynomials and Schur functions: the singularities I 2 , 2 ( - )

Piotr Pragacz (2007)

Annales de l’institut Fourier

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We give the Thom polynomials for the singularities I 2 , 2 associated with maps ( , 0 ) ( + k , 0 ) with parameter k 0 . Our computations combine the characterization of Thom polynomials via the “method of restriction equations” of Rimanyi et al. with the techniques of Schur functions.