A new generalization of the $l_p$ spaces

Author(s):

Alireza Moazzen *

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
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:

Lower Bound Of Operator , Hilbert's Operator , Cesaro Operator

Language:
English
Published:
International Journal Of Nonlinear Analysis And Applications, Volume:16 Issue: 5, May 2025
Pages:
165 to 172
https://magiran.com/p2775368