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Results 1 - 10
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332
WHEN IS THE PRODUCT OF HANKEL OPERATORS A HANKEL OPERATOR?
"... Abstract. In this paper we characterize when the product of two block Hankel operators on the vector-valued Hardy space is a Hankel operator. We also describe when a block Toeplitz and a block Hankel operator commute. These characterizations extend results in two recent papers by T. Yoshino and R.A. ..."
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Abstract. In this paper we characterize when the product of two block Hankel operators on the vector-valued Hardy space is a Hankel operator. We also describe when a block Toeplitz and a block Hankel operator commute. These characterizations extend results in two recent papers by T. Yoshino and R
Truncation of Multilinear Hankel Operators
, 2003
"... We extend to multilinear Hankel operators the fact that truncation of bounded Hankel operators is bounded. We prove and use a continuity property of a kind of bilinear Hilbert transforms on product of Lipschitz spaces and Hardy spaces. ..."
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Cited by 2 (0 self)
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We extend to multilinear Hankel operators the fact that truncation of bounded Hankel operators is bounded. We prove and use a continuity property of a kind of bilinear Hilbert transforms on product of Lipschitz spaces and Hardy spaces.
A Generalization Of Hankel Operators
, 2000
"... We introduce a class of operators, called #--Hankel operators, as those that satisfy the operator equation S # X - XS = #X, where S is the unilateral forward shift and # is a complex number. We investigate some of the properties of #--Hankel operators, and show that much of their behaviour is simi ..."
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Cited by 3 (2 self)
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We introduce a class of operators, called #--Hankel operators, as those that satisfy the operator equation S # X - XS = #X, where S is the unilateral forward shift and # is a complex number. We investigate some of the properties of #--Hankel operators, and show that much of their behaviour
Essentially Slant Hankel Operators
"... Abstract. The notion of an essentially slant Hankel operator is introduced and its algebraic properties are studied. The study is further carried to compressions of such operators. It is proved that a Rhaly operator is the compression of an essentially slant Toeplitz operator if and only if it is th ..."
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Cited by 1 (0 self)
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Abstract. The notion of an essentially slant Hankel operator is introduced and its algebraic properties are studied. The study is further carried to compressions of such operators. It is proved that a Rhaly operator is the compression of an essentially slant Toeplitz operator if and only
Essentially Hankel Operators.
"... We introduce the set of essentially Hankel operators and investigate some of its properties. We show in particular that the set contains some operators not of the form "Hankel plus compact", even when we restrict ourselves to the class of essentially Hankel operators with trivial (Fredholm ..."
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We introduce the set of essentially Hankel operators and investigate some of its properties. We show in particular that the set contains some operators not of the form "Hankel plus compact", even when we restrict ourselves to the class of essentially Hankel operators with trivial
An Excursion into the Theory of Hankel Operators
"... Abstract. This survey is an introduction to the theory of Hankel operators, a beautiful area of mathematical analysis that is also very important in applications. We start with classical results: Kronecker’s theorem, Nehari’s theorem, Hartman’s theorem, Adamyan–Arov–Krein theorems. Then we describe ..."
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Abstract. This survey is an introduction to the theory of Hankel operators, a beautiful area of mathematical analysis that is also very important in applications. We start with classical results: Kronecker’s theorem, Nehari’s theorem, Hartman’s theorem, Adamyan–Arov–Krein theorems. Then we describe
GENERALIZED HANKEL OPERATORS
, 1993
"... unit ball that generalize the classical (big) Hankel operator. For such operators we prove boundedness, compactness, and Schatten-ideal property criteria. These extend known results. These new oper-ators are defined in terms of a symbol. We prove in particular that for 2 < p < oo, these operat ..."
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unit ball that generalize the classical (big) Hankel operator. For such operators we prove boundedness, compactness, and Schatten-ideal property criteria. These extend known results. These new oper-ators are defined in terms of a symbol. We prove in particular that for 2 < p < oo
Algebraic Properties of Slant Hankel Operators
"... Notion of Slant Hankel Operator Sφ with symbol φ in L∞(∂D) is introduced and studied. Many algebraic properties of the operator are obtained. It is shown that the only Hyponormal Slant-Hankel operator is zero operator. ..."
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Notion of Slant Hankel Operator Sφ with symbol φ in L∞(∂D) is introduced and studied. Many algebraic properties of the operator are obtained. It is shown that the only Hyponormal Slant-Hankel operator is zero operator.
HAAR SHIFTS, COMMUTATORS, AND HANKEL OPERATORS
, 2008
"... Hankel operators lie at the junction of analytic and real-variables. We will explore this junction, from the point of view of Haar shifts and commutators. ..."
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Hankel operators lie at the junction of analytic and real-variables. We will explore this junction, from the point of view of Haar shifts and commutators.
AN INVERSE SPECTRAL PROBLEM FOR HANKEL OPERATORS
"... Abstract. We prove that given any compact subset of the complex plane containing zero, there exists a Hankel operator having this set as its spectrum. ..."
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Cited by 1 (0 self)
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Abstract. We prove that given any compact subset of the complex plane containing zero, there exists a Hankel operator having this set as its spectrum.
Results 1 - 10
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332
