Contractions on Hilbert space with the smallest local unitary spectra

Scientific Research and Essays

Cesim Temel¹ 

关键词:  ;    Hilbert space;    contraction;    local spectrum.;   

DOI  :  10.5897/SRE11.2216

学科分类：社会科学、人文和艺术（综合）

来源: Academic Journals

【 摘 要 】

LetT be a contraction on a complex Hilbert spaceH, letbe the local spectrum ofat, and letbe the local unitary spectrum ofTat;. We show that ifis of Lebesgue measure zero, then, whereis the unitary part ofin the canonical decomposition ofH with respect toT.

【 授权许可】

CC BY