Inner product inequalities with applications

• Published in: Linear & multilinear algebra Vol. 73; no. 9; pp. 2089 - 2102
• Main Authors: Sababheh, Mohammad, Moradi, Hamid Reza, Sahoo, Satyajit
• Format: Journal Article
• Language: English
• Published: Taylor & Francis 13.06.2025
• Subjects: Buzano's inequality; Cauchy-Schwarz inequality; numerical radius; operator norm; Primary 47A12; Secondary 47B10

In this paper, we show some inner product inequalities, which can be considered of Cauchy-Schwarz and Buzano type inequalities for Hilbert space operators. This will lead to several applications that include a new equivalent statement to the fact that an operator matrix is positive and new upper bou...