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A note on compact operators on matrix domains. (English) Zbl 1147.47002
The authors establish some identities or estimates for the operator norms and Hausdorff measures of noncompactness of linear operators given by infinite matrices on some matrix domains. Characterizations of compact operators on some matrix domains are also obtained.

##### MSC:
 47A05 General (adjoints, conjugates, products, inverses, domains, ranges, etc.) 40H05 Functional analytic methods in summability
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