Dilating contractions into involutions and projections

  • Bourin, Jean Christophe; 
  • Lee, Eun-young
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초록

Any contraction A∈M<inf>n</inf> can be dilated (1) into an involution S∈M<inf>2n</inf> with operator norm ‖S‖<inf>∞</inf>≤1+2 and (2) into a projection E∈M<inf>2n</inf> with ‖E‖<inf>∞</inf>≤3. The bounds 1+2 and 3 are the smallest possible ones. © 2025 Elsevier Inc.

키워드

Contraction; Dilation; Involution; Numerical range; Projection
제목
Dilating contractions into involutions and projections
저자
Bourin, Jean Christophe; Lee, Eun-young
DOI
10.1016/j.laa.2025.11.022
발행일
2026-03
유형
Article
저널명
Linear Algebra and Its Applications
권
732
페이지
26 ~ 32