A new generalization of the l_p spaces

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.

کلیدواژه ها:

Lower bound of operator ، Hilbert's operator ، Cesaro operator