ABSTRACT. This paper focuses on the problem concerning the location and the number of zeros of those polynomials when their coefficients are restricted with special conditions. The problem of the number of the zeros of reciprocal Littlewood polynomials on the unit circle T is discussed, the interest on bounds for the number of the zeros of reciprocal polynomials on the unit circle arose after 1950 when Erdös began introducing problems on zeros of various types of polynomials. Our main result is the problem of finding the number of zeros of complex polynomials in an open disk.
This study aims at combining the concepts of g-frame and K-frame for a Hilbert C * -module U , for an operator K ∈ End * A (U ), where End * A (U ) contains all adjointable A-linear maps on U . As a result, continuous K-g-frames for Hilbert C * -modules are introduced and studied. Subsequently, some characterizations of continuous K-gframes in Hilbert C * -modules are proved. Next, continuous K-g-dual of a c-K-g-frame is introduced. Finally, some results, particularly, the existence of continuous K-g-dual, are derived.
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