Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4672812 | Indagationes Mathematicae | 2016 | 9 Pages |
Abstract
In this paper, we generalize the following inequality due to N. Bebiano et al which states that for JJ-contraction T∈MnT∈Mn|[Tx,y]J|2≥[|T|J2αx,x]J[|T♯|J2(1−α)y,y]J for any x,y∈Cnx,y∈Cn with xx or yy time-like and α∈[0,1]α∈[0,1]. The above inequality gives a reverse weighted mixed Schwarz inequality. Also, we prove some reverse inequalities for indefinite inner product space. Moreover, we establish some refinements for the reverse of Schwarz inequality as well.
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Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Ali Taghavi, Haji Mohammad Nazari, Vahid Darvish,