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Recent developments of the operator Kantorovich inequality

โœ Scribed by Mohammad Sal Moslehian


Book ID
118045106
Publisher
Elsevier Science
Year
2012
Tongue
German
Weight
207 KB
Volume
30
Category
Article
ISSN
0723-0869

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๐Ÿ“œ SIMILAR VOLUMES


Kantorovich type operator inequalities v
โœ Jun Ichi Fujii; Yuki Seo; Masaru Tominaga ๐Ÿ“‚ Article ๐Ÿ“… 2004 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 243 KB

As a converse of the arithmetic and geometric mean inequality, Specht gave the ratio of the arithmetic one by the geometric one in 1960. We can reap the rich harvest of the Specht ratio in operator theory. In this paper, we shall present other characterizations of the chaotic order and the usual one

On the Inequality of Kantorovich
โœ E. F. Beckenbach ๐Ÿ“‚ Article ๐Ÿ“… 1964 ๐Ÿ› Mathematical Association of America ๐ŸŒ English โš– 878 KB
Two Remarks on the Kantorovich Inequalit
โœ Peter Henrici ๐Ÿ“‚ Article ๐Ÿ“… 1961 ๐Ÿ› Mathematical Association of America ๐ŸŒ English โš– 363 KB
The geometrical meaning of the Kantorovi
โœ Karl Gustafson ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 92 KB

The KantorovichยฑWielandt angle he and the author's operator angle /e are related by cos /e 2 sin he. Here A is an arbitrary symmetric positive deยฎnite (SPD) matrix. The relationship of these two dierent geometrical perspectives is discussed. An extension to arbitrary nonsingular matrices A is given.