{"product_id":"g-stochastic-matrices-and-linear-preservers-of-g-majorization-von-ali-armandnejad","title":"G-stochastic matrices and linear preservers of G-majorization","description":"\u003cp\u003eLet Mn be the algebra of all n by n real or complex matrices. A nonneg-  ative matrix R in Mn which all it's row sums are equal one is said to  be row stochastic matrix. A column stochastic matrix is the transpose  of a row stochastic matrix. A matrix D in Mn with the property that  D and D^t are row stochastic matrices is said to be doubly stochastic  matrix. A matrix R in Mn which all it's row sums are equal one is  said to be g-row stochastic matrix. A matrix C in Mn which all it's  column sums are equal one is said to be g-column stochastic matrix. A  matrix D in Mn with the property that D and D^t are g-row stochastic  matrices is said to be g-doubly stochastic matrix. The matrix B is said  to be gw-majorized (or gs-majorized) by A if there exists an n by n g-row  (or g-doubly) stochastic matrix R such that B=RA, and denoted by  AgwB(orA gs B). we will characterize all linear operators that :  (1) preserve (or strongly preserve) gw-majorization on Rn and Mn.  (2) preserve (or strongly preserve) gs-majorization on Mn,m.\u003c\/p\u003e\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783846531501\"\u003e\u003ch3\u003eLinear preservrs of g-majorization on the space of n by m real or complex matrices\u003c\/h3\u003e\u003c\/div\u003e","brand":"Autorenwelt Shop","offers":[{"title":"Softcover - 9783846531501","offer_id":39471200403549,"sku":"9783846531501","price":49.0,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/885d365a-7f1b-4447-81d9-1d6bd2e6fc53.jpg?v=1759120002","url":"https:\/\/shop.autorenwelt.de\/en\/products\/g-stochastic-matrices-and-linear-preservers-of-g-majorization-von-ali-armandnejad","provider":"Autorenwelt Shop","version":"1.0","type":"link"}