منابع مشابه
Polynomial Grothendieck Properties *
A Banach space E has the Grothendieck property if every (linear bounded) operator from E into c0 is weakly compact. It is proved that, for an integer k > 1, every k-homogeneous polynomial from E into c0 is weakly compact if and only if the space P(kE) of scalar valued polynomials on E is reflexive. This is equivalent to the symmetric k-fold projective tensor product of E (i.e., the predual of P...
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Affine size-change analysis has been used for termination analysis of eager functional programming languages. The same style of analysis is also capable of compactly recording and calculating other properties of programs, including their runtime, maximum stack depth, and (relative) path time costs. In this paper we show how precise (not just big-O) polynomial bounds on such costs may be calcula...
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Article history: Received 28 June 2011 Available online 31 January 2012 Communicated by Michel Van den Bergh
متن کاملThe expansion of Hall-Littlewood functions in the dual Grothendieck polynomial basis
A combinatorial expansion of the Hall-Littlewood functions into the Schur basis of symmetric functions was first given by Lascoux and Schützenberger, with their discovery of the charge statistic. A combinatorial expansion of stable Grassmannian Grothendieck polynomials into monomials was first given by Buch, using set-valued tableaux. The dual basis of the stable Grothendieck polynomials was gi...
متن کاملCombinatorial Formulae for Grothendieck-demazure and Grothendieck Polynomials
∂if = f− sif xi − xi+1 where si acts on f by transposing xi and xi+1 and let π̃i = ∂i(xi(1− xi+1)f) Then the Grothendieck-Demazure polynomial κα, which is attributed to A. Lascoux and M. P. Schützenberger, is defined as κα = x α1 1 x α2 2 x α3 3 ... if α1 ≥ α2 ≥ α3 ≥ ..., i.e. α is non-increasing, and κα = π̃iκαsi if αi < αi+1, where si acts on α by transposing the indices. Example 2.1. Let α = (...
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ژورنال
عنوان ژورنال: Glasgow Mathematical Journal
سال: 1995
ISSN: 0017-0895,1469-509X
DOI: 10.1017/s0017089500031116