2021
DOI: 10.2298/fil2115101e
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On block diagonal majorization and basic sequences

Abstract: 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 c0, which is said block diagonal majorization. We also obtain some important properties of Pbdr, the set of all bounded linear operators T : c0 ? c0; which preserve < bdr : Further, it is obtained necessary conditions for a bounded linear operator T on c0 to be a preserver of the block diagonal m… Show more

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