Closed-range posinormal operators and their products

نویسندگان

چکیده

We focus on two problems relating to the question of when product posinormal operators is posinormal, giving (1) necessary conditions and sufficient for have closed range, (2) commuting closed-range be with range. also discuss relationship between EP (as well as hypo-EP operators), concluding a new proof Hartwig–Katz Theorem, which characterizes Cn posinormal.

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Isometric and Closed-Range Composition Operators between Bloch-Type Spaces

We present an overview of the known results describing the isometric and closed-range composition operators on different types of holomorphic function spaces. We add new results and give a complete characterization of the isometric univalently induced composition operators acting between Bloch-type spaces. We also add few results on the closed-range determination of composition operators on Blo...

متن کامل

Monotone Closed Operators and Quantum Semigroup Related to Free Products

Guided by the construction of the unital *-algebra of closed operators which are ‘affiliated’ with a given unital *-algebra, we introduce the notion of the ‘monotone closure’ for certain increasing sequences of unital *-algebras. Then we study an example of a unital *-algebra F0(A) constructed from a countable number of copies of a unital *-algebra A. We endow F0(A) with a quantum semigroup str...

متن کامل

Operators with numerical range in a closed halfplane

Various characterizations are given of real and complex Hilbert space operators with the numerical range in a closed halfplane.

متن کامل

The Closed Range Property for Banach Space Operators

Let T be a bounded operator on a complex Banach space X. If V is an open subset of the complex plane, we give a condition sufficient for the mapping f(z) 7→ (T − z)f(z) to have closed range in the Fréchet space H(V, X) of analytic X-valued functions on V . Moreover, we show that there is a largest open set U for which the map f(z) 7→ (T − z)f(z) has closed range in H(V, X) for all V ⊆ U . Final...

متن کامل

Tensor Products of Closed Operators on Banach Spaces

Let A and B be closed operators on Banach spaces X and Y. Assume that A and B have nonempty resolvent sets and that the spectra of A and B are unbounded. Let 01 be a uniform cross norm on X @ Y. Using the Gelfand theory and resolvent algebra techniques, a spectral mapping theorem is proven for a certain class of rational functions of A and B. The class of admissable rational functions (includin...

متن کامل

ذخیره 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: Linear Algebra and its Applications

سال: 2023

ISSN: ['1873-1856', '0024-3795']

DOI: https://doi.org/10.1016/j.laa.2023.04.009