Remarks on commutators with operators having either finite nullity or finite deficiency
نویسندگان
چکیده
منابع مشابه
A 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 کاملFinite Sums of Commutators
We show that elements of unital C-algebras without tracial states are finite sums of commutators. Moreover, the number of commutators involved is bounded, depending only on the given C-algebra.
متن کاملRemarks on Finite Subset Spaces
This paper expands on and refines some known and less well-known results about the finite subset spaces of a simplicial complex X including their connectivity and manifold structure. It also discusses the inclusion of the singletons into the threefold subset space and shows that this subspace is weakly contractible but generally non-contractible unless X is a cogroup. Some homological calculati...
متن کاملRemarks on Finite W Algebras
The property of some finite W algebras to be the commutant of a particular subalgebra of a simple Lie algebra G is used to construct realizations of G. When G ≃ so(4, 2), unitary representations of the conformal and Poincaré algebras are recognized in this approach, which can be compared to the usual induced representation technique. When G ≃ sp(2,R) or sp(4,R ), the anyonic parameter can be se...
متن کاملOn Commutators of Isometries and Hyponormal Operators
A sufficient condition is obtained for two isometries to be unitarily equivalent. Also, a new class of M-hyponormal operator is constructed
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: Linear Algebra and its Applications
سال: 1994
ISSN: 0024-3795
DOI: 10.1016/0024-3795(94)90437-5