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Abstract. In this paper we solve the isometric equivalence problem for composition operators on Hardy spaces of the bi-disk, for generalized composition operators on the Bloch space and for elementary operators on the symmetric subspace of $\mathcal{B}(\mathcal{H})$.
DOI: 10.14232/actasm-014-044-0
AMS Subject Classification
(1991): 47A06, 47B25, 47B33
Keyword(s):
isometric equivalence,
Hardy space,
Bloch space,
spaces of symmetric operators,
composition operators,
elementary operators
Received May 31, 2014, and in revised form October 20, 2014. (Registered under 44/2014.)
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