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On Domains and Ranges of Powers of Linear Relations in Linear Spaces

Research paper by Adrian Sandovici

Indexed on: 05 Mar '11Published on: 05 Mar '11Published in: Complex Analysis and Operator Theory



Abstract

Let A and B be linear relations in a linear space such that B is a restriction of A. The main result of this note is an estimate for the codimension of the range of Bn in the range of An in terms of the codimension of the range of B in the range of A and the codimension of the kernel of B in the kernel of A.