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In this paper, we consider three concepts of orthogonality in a Hilbert -module
over a
-algebra
: the Birkhoff–James orthogonality
, the strong Birk–James orthogonality
and the orthogonality with respect to the
-valued inner product on V. We characterize the classes of Hilbert
-modules in which any two of them coincide.
AMS Subject Classifications:
The authors are thankful to the referee for the useful comments and suggestions.
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