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INEQUALITIES FOR NORMAL OPERATORS IN HILBERT SPACESKeywords: Bounded linear operators , normal operators , Hilbert spaces , Schwarz inequality , reverse inequalities Abstract: Some inequalities for normal operators in Hilbert spaces are established. For this purpose, classical and new vector inequalities due to Buzano, Dunkl- Williams, Hile, Goldstein-Ryff-Clarke, Dragomir-Sandor and the author are employed.
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