Soft Frames in Soft Hilbert Spaces
نویسندگان
چکیده
In this paper, we use soft linear operators to introduce the notion of discrete frames on Hilbert spaces, which extends classical spaces context algebraic structures sets. Among other results, show that frame operator associated a is bounded, self-adjoint, invertible and with bounded inverse. Furthermore, prove every element in space satisfies decomposition theorem. This theoretical framework potentially applicable signal processing because coefficients serve model data packets be transmitted communication networks.
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ژورنال
عنوان ژورنال: Mathematics
سال: 2021
ISSN: ['2227-7390']
DOI: https://doi.org/10.3390/math9182249