Перегляд Доповіді НАН України, 2019, № 01 за темою "Математика"

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A sufficient condition for the sum of complemented subspaces to be complemented

Feshchenko, I.S. (Доповіді НАН України, 2019)

We provide a sufficient condition for the sum of a finite number of complemented subspaces of a Banach space to be complemented. Under this condition, the formula for a projection onto the sum is given. The condition is ...
On the role played by anticommutativity in Leibniz algebras

Kurdachenko, L.A.; Semko, N.N.; Subbotin, I.Ya. (Доповіді НАН України, 2019)

Lie algebras are exactly the anticommutative Leibniz algebras. We conduct a brief analysis of the approach to Leibniz algebras which is based on the concept of anticenter (Lie-center) and antinilpotency (Lie nilpotentency).

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