An extension of the P\'olya--Szeg\"o operator inequality
Abstract
We extend an operator P\'olya--Szeg\"o type inequality involving the operator geometric mean to any arbitrary operator mean under some mild conditions. Utilizing the Mond--Pecari\'c method, we present some other related operator inequalities as well.
0
Turn this paper into a lesson
ArcXiv compiles a structured reading guide from this paper's metadata: plain-English importance, contributions, prerequisite concepts, which sections to read first, flashcards, and a quiz. Grounded in the abstract, never invented.