Norms of Hankel operators on a bidisc
نویسندگان
چکیده
منابع مشابه
A note on essential spectra and norms of mixed Hankel-Toeplitz operators
Mi~ed sensitivity optimization was considered! by Kwakernaak [9]. Francis et al. [5,4,6] gave various characterizations of the problem, e.g., in terms of the distance from [0 w] to [vM]H °°, where W, M, V, are in H = and M is inner. Jonckheere and Verma [7,12] described the problem in terms of the norm of the Hankel-Toeplitz operator displayed in (1) (below). Implicit methods of minimization, e...
متن کاملHankel Operators on Hilbert Space
commonly known as Hilbert's matrix, determines a bounded linear operator on the Hilbert space of square summable complex sequences. Infinite matrices which possess a similar form to H, namely those that are 'one way infinite' and have identical entries in cross diagonals, are called Hankel matrices, and when these matrices determine bounded operators we have Hankel operators, the subject of thi...
متن کاملThe Semi-commutator of Toeplitz Operators on the Bidisc
In this paper we characterize when the semi-commutator TfTg − Tfg of two Toeplitz operators Tf and Tg on the Hardy space of the bidisc is zero. We also show that there is no nonzero finite rank semi-commutator on the bidisc. Furthermore explicit examples of compact semi-commutators with symbols continuous on the bitorus T 2 are given.
متن کاملA comparative study of fuzzy norms of linear operators on a fuzzy normed linear spaces
In the present paper, we rst modify the concepts of weakly fuzzy boundedness, strongly fuzzy boundedness, fuzzy continuity, strongly fuzzy continuity and weakly fuzzy continuity. Then, we try to nd some relations by making a comparative study of the fuzzy norms of linear operators.
متن کاملOn Truncations of Hankel and Toeplitz Operators
We study the boundedness properties of truncation operators acting on bounded Hankel (or Toeplitz) infinite matrices. A relation with the Lacey-Thiele theorem on the bilinear Hilbert transform is established. We also study the behaviour of the truncation operators when restricted to Hankel matrices in the Schatten classes. 1. Statement of results In this note we will be dealing with infinite ma...
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: Proceedings of the American Mathematical Society
سال: 1990
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-1990-1000162-5