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The unilateral shift and a norm equality for bounded linear operators
Authors:C.-S. Lin
Affiliation:Department of Mathematics, Bishop's University, Lennoxville, Quebec, Canada J1M 1Z7
Abstract:The paper gives a necessary and sufficient condition for the norm equality $parallel S-Tparallel =parallel Sparallel +parallel Tparallel $ of bounded linear operators $S$ and $T$. The invertibility of an operator which is related to the norm equality is discussed. Some new results about the unilateral shift are given.

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