Ordered analytic Hilbert spaces over the unit disk
نویسندگان
چکیده
منابع مشابه
Sub-Bergman Hilbert Spaces on the Unit Disk
If the contraction T is a Toeplitz operator on H2 or A2 induced by an analytic function φ, we then denote the resulting space by H(φ). Similarly, if T is the Toeplitz operator on H2 or A2 induced by a conjugate analytic symbol φ, then we denote the resulting space by H(φ). In the context of Hardy spaces, H(φ) and H(φ) are called sub-Hardy Hilbert spaces by Sarason in [6]. We thus arrive at the ...
متن کاملAnalytic Subsets of Hilbert Spaces †
We show that every complete metric space is homeomorphic to the locus of zeros of an entire analytic map from a complex Hilbert space to a complex Banach space. As a corollary, every separable complete metric space is homeomorphic to the locus of zeros of an entire analytic map between two complex Hilbert spaces. §1. Douady had observed [8] that every compact metric space is homeomorphic to the...
متن کاملComposition operators acting on weighted Hilbert spaces of analytic functions
In this paper, we considered composition operators on weighted Hilbert spaces of analytic functions and observed that a formula for the essential norm, gives a Hilbert-Schmidt characterization and characterizes the membership in Schatten-class for these operators. Also, closed range composition operators are investigated.
متن کاملcomposition operators acting on weighted hilbert spaces of analytic functions
in this paper, we considered composition operators on weighted hilbert spaces of analytic functions and observed that a formula for the essential norm, gives a hilbert-schmidt characterization and characterizes the membership in schatten-class for these operators. also, closed range composition operators are investigated.
متن کاملDecomposition of an Order Isomorphism between Matrix-ordered Hilbert Spaces
The purpose of this note is to show that any order isomorphism between noncommutative L2-spaces associated with von Neumann algebras is decomposed into a sum of a completely positive map and a completely copositive map. The result is an L2 version of a theorem of Kadison for a Jordan isomorphism on operator algebras.
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: Studia Mathematica
سال: 2008
ISSN: 0039-3223,1730-6337
DOI: 10.4064/sm185-2-2