This article is cited in 7 papers

Brief Communications

On the $\stackrel{\sharp}{\le}$-Order on the Set of Linear Bounded Operators in Banach Space

M. A. Efimov

M. V. Lomonosov Moscow State University

Keywords: linear bounded operator, Banach space, matrix $\stackrel{\sharp}{\le}$-order, matrix $A\mathbin{\overline{\le}}B$-order, group inverse matrix, index of a matrix, Hilbert space, idempotent.

Received: 15.10.2012

DOI: 10.4213/mzm10235

 English version: Mathematical Notes, 2013, 93:5, 784–788

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