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1.
2.
It is shown that thep-summing norm of any operator withn-dimensional domain can be well-aproximated using only “few” vectors in the definition of thep-summing norm. Except for constants independent ofn and logn factors, “few” meansn if 1<p<2 andn
p/2 if 2<p<∞.
Supported in part by NSF #DMS90-03550 and the U.S.-Israel Binational Science Foundation.
Supported in part by the U.S.-Israel Binational Science Foundation. 相似文献
3.
The Ramanujan Journal - We construct polynomial solutions of the KZ differential equations over a finite field $${\mathbb F}_p$$ as analogs of hypergeometric solutions. 相似文献
4.
Apart from the Knizhnik-Zamolodchikov differential equations, correlation functions in Wess-Zumino-Witten models of conformal field theory satisfy a certain system of algebraic equations. We show that hypergeometric solutions of KZ equations constructed in [3] do satisfy these algebraic equations. 相似文献
5.
We consider the interplay of infinite-dimensional Lie algebras of Virasoro type and moduli spaces of curves, suggested by string theory. We will see that the infinitesimal geometry of determinant bundles is governed by Virasoro symmetries. The Mumford forms are just invariants of these symmetries. The representations of Virasoro algebra define (twisted)D-modules on moduli spaces; theseD-modules are equations on correlators in conformal field theory.To the memory of Vadik Knizhnik (20. 2. 1962–25. 12. 1987) 相似文献
6.
S. Bates W. B. Johnson J. Lindenstrauss D. Preiss G. Schechtman 《Geometric And Functional Analysis》1999,9(6):1092-1127
New concepts related to approximating a Lipschitz function between Banach spaces by affine functions are introduced. Results
which clarify when such approximations are possible are proved and in some cases a complete characterization of the spaces
X, Y for which any Lipschitz function from X to Y can be so approximated is obtained. This is applied to the study of Lipschitz and uniform quotient mappings between Banach
spaces. It is proved, in particular, that any Banach space which is a uniform quotient of L
p
, 1 < p < , is already isomorphic to a linear quotient of L
p
.
Submitted: June 1998, revised: December 1998. 相似文献
7.
It is shown that if X is an n – dimensional subspace of Lp, 0 < p < 1, then there exists a subspace Y of 𝓁Np such that d(X, Y) ≤ 1 + ε and N ≤ C(ε, p)n(log n)3. 相似文献
8.
9.
Arrangements of hyperplanes and Lie algebra homology 总被引:6,自引:0,他引:6
10.
T. Figiel P. Hitczenko W. B. Johnson G. Schechtman J. Zinn 《Transactions of the American Mathematical Society》1997,349(3):997-1027
The best constant and the extreme cases in an inequality of H.P. Rosenthal, relating the moment of a sum of independent symmetric random variables to that of the and moments of the individual variables, are computed in the range . This complements the work of Utev who has done the same for . The qualitative nature of the extreme cases turns out to be different for than for . The method developed yields results in some more general and other related moment inequalities.