Polaroid and p-*-paranormal operators
نویسندگان
چکیده
منابع مشابه
On Quasi ∗-paranormal Operators
An operator T ∈ B(H) is called quasi ∗-paranormal if ||T ∗Tx||2 ≤ ||T x|||Tx|| for all x ∈ H. If μ is an isolated point of the spectrum of T , then the Riesz idempotent E of T with respect to μ is defined by
متن کاملWeyl’s Theorem for Algebraically Paranormal Operators
Let T be an algebraically paranormal operator acting on Hilbert space. We prove : (i) Weyl’s theorem holds for f(T ) for every f ∈ H(σ(T )); (ii) a-Browder’s theorem holds for f(S) for every S ≺ T and f ∈ H(σ(S)); (iii) the spectral mapping theorem holds for the Weyl spectrum of T and for the essential approximate point spectrum of T . Mathematics Subject Classification (2000). Primary 47A10, 4...
متن کاملTopological Properties of Paranormal Operators on Hilbert Space
Let B(H) be the set of all bounded endomorphisms (operators) on the complex Hubert space H. T € B(H) is paranormal if \\(T — z/) || = l/d(z, cr(T)) for all z £ cr(T) where d(z, cr(T)) is the distance from z to cr(T), the spectrum of T. If J is the set of all paranormal operators on H, then J contains the normal operators, JÍ, and the hyponormal operators; and J is contained in JL, the set of al...
متن کاملLIPSCHITZ p-INTEGRAL OPERATORS AND LIPSCHITZ p-NUCLEAR OPERATORS
In this note we introduce strongly Lipschitz p-integral operators, strongly Lipschitz p-nuclear operators and Lipschitz p-nuclear operators. It is shown that for a linear operator, the Lipschitz p-nuclear norm is the same as its usual p-nuclear norm under certain conditions. We also prove that the Lipschitz 2-dominated operators and the strongly Lipschitz 2-integral operators are the same with ...
متن کاملoperators on L ( L p ) and ` p - strictly singular operators
A classification of weakly compact multiplication operators on L(Lp), 1 < p < ∞, is given. This answers a question raised by Saksman and Tylli in 1992. The classification involves the concept of `p-strictly singular operators, and we also investigate the structure of general `p-strictly singular operators on Lp . The main result is that if an operator T on Lp , 1 < p < 2, is `p-strictly singula...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Mathematical Inequalities & Applications
سال: 2013
ISSN: 1331-4343
DOI: 10.7153/mia-16-41