Open Access
Original Articles
Strong Linear Preservers of GW-Majorization on Mundefined
A. Armandnejadarmandnejad@mail.vru.ac.irDepartment of MathematicsValiasr University of RafsanjanRafsanjan, 7713936417, IranView full profile → , A. Salemisalemi@mail.uk.ac.irDepartment of MathematicsShahid Bahonar University of KermanKerman, 7619614111, IranView full profile →
* Corresponding author · click or hover a name for details
- Received:
- 11 Jun 2007
- Published Online:
- 03 Jun 2013
- Article type:
- Original Articles
- Language:
- EN
- Article no.:
- 1726037X.2007.10698535
- Pages:
- 165–168
Abstract
Let Mundefined be the set of all n × n matrices whose all entries are in , where is the field of real or complex numbers. In this paper we introduce the relation gw-majorization on Mundefined. Also we characterize all linear operators that strongly preserve gw-majorization on Mundefined.
Keywords
References
- Armandnejad, A. and Salemi, A.2006 . The structure of linear preservers of gs-majorization . , 32 ( 2 ) : 31 – 42 .
- Beasley, L.B., Lee, S.-G. and Lee, Y.H. 2003 . “ A characterization of strong preservers of matrix majorization ” . In Vol. 367 , 341 – 346 .
- Bhatia, R.1997 . , New York: Springer-Verlag .
- Chiang, H. and Li, C.K.2005 . Generalized Doubly Stochastic Matrices and Linear Preservers . , 53 : 1 – 11 .
- Dahl, G.1999 . Matrix majorization . , 288 : 53 – 73 .
- Marcus, M. and Purves, R.1959 . linear transformations on algebra of matricesII: The invariance of the elementary symmetric functions . , 11 : 383 – 396 .
- Marshall, A.W. and Olkin, I.1972 . , New York: Academic .
- Pera, F., Massey, P. and Silvestre, L.2005 . Weak matrix majorization . , 403 : 343 – 368 .
Views: 59Downloads: 70Citations: 0




