p. 133 - 142 Preservation of tensor sum and tensor product
continuous functions C. S. Kubrusly and N. Levan Received: July 26, 2010;
Accepted: September 18, 2010
Abstract.
This note deals with preservation of tensor sum and tensor product of
Hilbert space operators. Basic operations with tensor sum are presented.
The main result addresses to the problem of transferring properties from
a pair of operators to their tensor sum and to their tensor product.
Sufficient conditions are given to ensure that properties preserved by
ordinary sum and ordinary product are preserved by tensor sum and tensor
product, which are equally relevant for both finite-dimensional and
infinite-dimensional spaces.
Keywords:
tensor product; tensor sum; Hilbert space operators
AMS Subject classification:
Primary: 47A80
Secondary: 47A45
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