normaloidとは 意味・読み方・使い方

形容詞

normaloid (not comparable)

1. (mathematics) Of a bounded linear operator, having a norm equal to its spectral radius.
   • 2015, Aref Jeribi, editor, Applied Mathematics in Tunisia, page 10:

     A bounded linear operator ${\\displaystyle T\\in L(X)}$, defined on a complex infinite dimensional Banach space ${\\displaystyle X}$, is said to be normaloid if ${\\displaystyle \\|T\\|=r(T),r(T)}$ the spectral radius of ${\\displaystyle T}$.

   • 2015, Mahsa Fatehi, Mahmood Haji Shaabani, “Normal, cohyponormal and normaloid weighted composition operators on the Hardy and weighted Bergman spaces”, in arXiv‎^[1]:

     In this paper, we study normal, cohyponormal, hyponormal and normaloid weighted composition operators on the Hardy and weighted Bergman spaces.