AN OPERATOR INEQUALITY IMPLYING CHAOTIC ORDER
Journal Title: International Journal of Applied Mathematics & Statistical Sciences - Year 2019, Vol 8, Issue 2
Abstract
This paper proves the assertion that if positive invertible operators A and B satisfy an operator inequality (B^(t/2) A^((S-t)/2) B^(S-t) A^((S-t)/2) B^(t/2) )^(1/(2s-t)) B for 0 < t <S/2, then by A B, if s< 2 – t.If s 2+t is additionally assumed then A B. A preliminary result Theorem 2 of J.J Fuji, M. Fuji and R. Nakamoto (FFN)[1] is further generalized in Theorem 3.
Authors and Affiliations
M. Ilyas, Reyaz Ahmad, S. Ilyas
Keywords
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AN OPERATOR INEQUALITY IMPLYING CHAOTIC ORDER
This paper proves the assertion that if positive invertible operators A and B satisfy an operator inequality (B^(t/2) A^((S-t)/2) B^(S-t) A^((S-t)/2) B^(t/2) )^(1/(2s-t)) B for 0 < t <S/2, then by A B, if s< 2 – t.I...