FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2004, VOLUME 10, NUMBER 4, PAGES 3-14

Rank permutability and additive operators preserving related rank product conditions

A. A. Alieva
A. E. Guterman

Abstract

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We characterize bijective additive operators preserving rank product conditions of a certain type. We also show that if an additive operator preserves the corresponding condition strongly, then it is automatically nonsingular.

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Last modified: April 14, 2005