Geodesic
On block diagonal majorization and basic sequences
Filomat, Tome 35 (2021) no. 15, p. 5101

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DOI

In this paper we generalize (finite) block diagonal matrices to infinite dimensions and then by using block diagonal row stochastic matrices (as a special case), we define the relation bdr on c 0 , which is said block diagonal majorization. We also obtain some important properties of P bdr , the set of all bounded linear operators T : c 0 → c 0 , which preserve bdr. Further, it is obtained necessary conditions for a bounded linear operator T on c 0 to be a preserver of the block diagonal majorization bdr. Also, the notion of the basic sequences correspond to block diagonal row stochastic matrices with description of some relevant examples will be discussed
DOI : 10.2298/FIL2115101E
Classification : 15A86, 15B51, 47B60, 47L07
Keywords: Block diagonal row stochastic matrix, Block diagonal majorization, Linear preserver, Basic sequence 
Ali Bayati Eshkaftaki; Noha Eftekhari. On block diagonal majorization and basic sequences. Filomat, Tome 35 (2021) no. 15, p. 5101 . doi: 10.2298/FIL2115101E
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     author = {Ali Bayati Eshkaftaki and Noha Eftekhari},
     title = {On block diagonal majorization and basic sequences},
     journal = {Filomat},
     pages = {5101 },
     year = {2021},
     volume = {35},
     number = {15},
     doi = {10.2298/FIL2115101E},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2115101E/}
}
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