Unconditional ideals of finite rank operators
نویسندگان
چکیده
منابع مشابه
Extension of Finite Rank Operators and Local Structures in Operator Ideals
We develop general techniques and present an approach to solve the problem of constructing a maximal Banach ideal (A,A) which does not satisfy a transfer of the norm estimation in the principle of local reflexivity to its norm A. This approach leads us to the investigation of product operator ideals containing L2 (the collection of all Hilbertian operators) as a factor. Using the local properti...
متن کاملFinite Rank Toeplitz Operators in Bergman Spaces
We discuss resent developments in the problem of description of finite rank Toeplitz operators in different Bergman spaces and give some applications
متن کاملFinite Rank Toeplitz Operators: Some Extensions of D.luecking’s Theorem
The recent theorem by D.Luecking about finite rank Bergman-Toeplitz operators is extended to weights being distributions with compact support and to the spaces of harmonic functions.
متن کاملInvariant Subspaces for Certain Finite-rank Perturbations of Diagonal Operators
Suppose that {ek} is an orthonormal basis for a separable, infinite-dimensional Hilbert space H. Let D be a diagonal operator with respect to the orthonormal basis {ek}. That is, D = ∑∞ k=1 λkek⊗ek, where {λk} is a bounded sequence of complex numbers. Let T = D + u1 ⊗ v1 + · · ·+ un ⊗ vn. Improving a result [2] of Foias et al., we show that if the vectors u1, . . . , un and v1, . . . , vn satis...
متن کاملA Class of Subnormal Operators with Finite Rank Self-commutators
In this paper, the family of pure subnormal operators S with m.n.e. N and finite rank self-commutators satisfying c~(S) = closed unit disk and or(N) = unit circle U{a l , . . . , am} is studied. A necessary and sufficient condition for a pair of matrices {A, C} to be a complete unitary invariance of S in this family is given. The concrete model for some sub-family of this family is also given i...
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: Czechoslovak Mathematical Journal
سال: 2008
ISSN: 0011-4642,1572-9141
DOI: 10.1007/s10587-008-0085-9