Mehta, C. L. (1975) Holder's inequality for matrices Pramana - Journal of Physics, 4 (5). pp. 242-245. ISSN 0304-4289
![[img]](https://repository.ias.ac.in/style/images/fileicons/application_pdf.png)
|
PDF
- Publisher Version
132kB |
Official URL: http://www.ias.ac.in/j_archive/pramana/4/5/242-246...
Related URL: http://dx.doi.org/10.1007/BF02847437
Abstract
We prove that for arbitrary n×n matrices A 1,A 2,...,A m and for positive real numbers p 1,p 2,...,p m with p1 -1 +p2 -1 +···+pm -1 =1, the inequality |Tr(A1A2...Am)2| < ∏ k=1m[Tr(AkAk)Pk]P-1k holds.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Indian Academy of Sciences. |
| Keywords: | Matrix Sums; Holder's Inequality |
| ID Code: | 19651 |
| Deposited On: | 22 Nov 2010 12:09 |
| Last Modified: | 17 May 2016 04:09 |
Repository Staff Only: item control page
