Journal of Operator Theory

Volume 35, Issue 1, Winter 1996 pp. 133-145.

Quasidiagonality and a generalized version of Berg’s technique

Authors: Laurent W. Marcoux
Author institution:Department of Mathematical Sciences, University of Alberta, Edmonton, Alberta, T6G 2G1, CANADA

Summary: We illustrate new and elementary proofs of two results concerning quasidiagonality of tensor products with normal operators and quasidiagonal dilations. The proofs here are based upon a generalization due to I.D. Berg and K.R. Davidson of Berg’s Technique for weighted shifts.

Keywords: Berg’s technique, block diagonal nilpotents, dilations, quasidiagonality, tensor product.

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