A new generalization of the $l_p$ spaces

Moazzen, Alireza

doi:10.22075/ijnaa.2023.27002.3472

A new generalization of the $l_p$ spaces

Document Type : Research Paper

Author

Alireza Moazzen

Department of Mathematics, Kosar University of Bojnord, Bojnord, Iran

10.22075/ijnaa.2023.27002.3472

Abstract

In this work, using semidefinite matrices gives a new generalization of the $l_p$ spaces and some inequalities containing lower bounds of some operators are proved. Also, by defining an inner product on the classes of an equivalence relation on operators, some inequalities similar to the well-known inequalities including the Copson, Cesaro, Hilbert and Hardy inequalities are obtained.

Keywords

References

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