INTERPOLATIONALITY FOR SYMMETRIC OPERATOR MEANS

• Fujii Jun Ichi

  Department of Art and Sciences (Information Science), Osaka Kyoiku University,

Abstract

Interpolational path of an operator mean has importance in the geometric sense. Here we give an equivalent condition that a symmetric operator mean in the sense of Kubo-Ando forms an interpolational path. Also we discuss some properties for interpolational means including those of another type of operator means. In addition, integral means induced by interpolational ones are introduced.

Journal

• Scientiae Mathematicae Japonicae

  Scientiae Mathematicae Japonicae 75 (3), 267-274, 2012

  International Society for Mathematical Sciences

Keywords

• operator mean
• operator monotone function
• path
• geodesic
• quasi-arithmetic mean
• integral mean

Details

• CRID: 1390845713076776704
• NII Article ID: 130007663384
• DOI: 10.32219/isms.75.3_267
• ISSN: 13460447
• Text Lang: en
• Data Source:
  • JaLC
  • CiNii Articles
• Abstract License Flag: Disallowed