Reverses of Schwarz inequality in inner product spaces with applications

Reverses of Schwarz inequality in inner product spaces with applications

New reverses of the Schwarz inequality in complex inner products spaces with applications for bounded linear operators are given. Some Grüss' type inequalities and their applications for numerical radius and the operator norm are provided as well.

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Bibliographische Detailangaben
Veröffentlicht in:Mathematische Nachrichten 2015-05, Vol.288 (7), p.730-742
1. Verfasser: Dragomir, S. S.
Format: Artikel
Sprache:eng
Schlagworte:
47A63
47A99
Bounded linear operators
Grüss inequality
Inner product
Schwarz inequality
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Beschreibung
Zusammenfassung:New reverses of the Schwarz inequality in complex inner products spaces with applications for bounded linear operators are given. Some Grüss' type inequalities and their applications for numerical radius and the operator norm are provided as well.
ISSN:0025-584X
1522-2616
DOI:10.1002/mana.201300100