Gupta, Rajeev (2017) An improvement on the bound for C2(n). In: Acta Scientiarum Mathematicarum, 83 (1-2). pp. 263-269. ISSN 0001-6969
Full text not available from this repository.Abstract
The inequality C2(n) ≤ 2KGC, where KGC is the complex Grothendieck constant and C2(n) = sup (||p(T)||: ||p||DN,∞ ≤ 1, ||T||∞ ≤ 1), for each n ϵ ℕ, is due to Varopoulos. Here the supremum is taken over all commuting n-tuples T:= (T1,⋯, Tn) of contractions and all complex polynomials pinn variables of degree at most 2 and of supremum norm at most 1 over the polydisc. We show that C2(n) ≤ 3√3/4 KGC for each n ϵ ℕ.
| Item Type: | Journal Article |
|---|---|
| Publication: | Acta Scientiarum Mathematicarum |
| Publisher: | University of Szeged |
| Additional Information: | The Copyright of this article belongs to the University of Szeged. |
| Keywords: | Complex Grothendieck constant; Varopoulos-Kaijser polynomial; Von Neumann inequality |
| Department/Centre: | Division of Physical & Mathematical Sciences > Mathematics |
| Date Deposited: | 24 Jun 2022 09:21 |
| Last Modified: | 24 Jun 2022 09:21 |
| URI: | https://eprints.iisc.ac.in/id/eprint/73533 |
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