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- W2264598381 abstract "We consider <TEX>${mathcal{T}}_{infty}(F)$</TEX> - the space of all innite upper triangular matrices over a eld F. We give a description of all linear maps that satisfy the property: if rank(x) = 1, then <TEX>$rank({phi}(x))=1$</TEX> for all <TEX>$x{in}{mathcal{T}}_{infty}(F)$</TEX>. Moreover, we characterize all injective linear maps on <TEX>${mathcal{T}}_{infty}(F)$</TEX> such that if rank(x) = k, then <TEX>$rank({phi}(x))=k$</TEX>." @default.
- W2264598381 created "2016-06-24" @default.
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- W2264598381 date "2016-01-01" @default.
- W2264598381 modified "2023-10-17" @default.
- W2264598381 title "LINEAR RANK PRESERVERS ON INFINITE TRIANGULAR MATRICES" @default.
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- W2264598381 doi "https://doi.org/10.4134/jkms.2016.53.1.073" @default.
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