Integral Operator Frames on Hilbert C-modules
Introduced by Duffin and Schaefer as a part of their work on nonhamonic fourrier series in 1952, the theory of frames has undergone a very interesting evolution in recent decades following the multiplicity of work carried out in this field. In this work, we introduce a new concept that of integral o...
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Zusammenfassung: | Introduced by Duffin and Schaefer as a part of their work on nonhamonic
fourrier series in 1952, the theory of frames has undergone a very interesting
evolution in recent decades following the multiplicity of work carried out in
this field. In this work, we introduce a new concept that of integral operator
frame for the set of all adjointable operators on a Hilbert C*-modules H and we
give some new propertis relating for some construction of integral operator
frame, also we establish some new results. Some illustrative examples are
provided to advocate the usability of our results. |
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DOI: | 10.48550/arxiv.2301.07217 |