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Weighted geometric mean of -operators with -parameters

✍ Scribed by Changdo Jung; Hosoo Lee; Yongdo Lim; Takeaki Yamazaki

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
219 KB
Volume
432
Category
Article
ISSN
0024-3795

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✦ Synopsis

We shall consider a weighted geometric mean of n-operators with n-parameters. It is based on the geometric mean defined in our previous paper [C. Jung, H. Lee, T. Yamazaki, On a new construction of geometric mean of n-operators, Linear Algebra Appl. 431 (2009) 1477-1488]. Then we shall show that its weights can be obtained by simple forms in the commutative operators case. Some properties of the weighted geometric mean are obtained.

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