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753
STRICT CONVEXITY OF SOME SUBSETS OF HANKEL OPERATORS
"... Abstract. We find some extreme points in the unit ball of the set of Hankel operators and show that the unit ball of the set of compact Hankel operators is strictly convex. We use this result to show that the collection of N × N lower triangular Toeplitz contractions is strictly convex. We also find ..."
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Abstract. We find some extreme points in the unit ball of the set of Hankel operators and show that the unit ball of the set of compact Hankel operators is strictly convex. We use this result to show that the collection of N × N lower triangular Toeplitz contractions is strictly convex. We also
A Singular Value Thresholding Algorithm for Matrix Completion
, 2008
"... This paper introduces a novel algorithm to approximate the matrix with minimum nuclear norm among all matrices obeying a set of convex constraints. This problem may be understood as the convex relaxation of a rank minimization problem, and arises in many important applications as in the task of reco ..."
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Cited by 555 (22 self)
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This paper introduces a novel algorithm to approximate the matrix with minimum nuclear norm among all matrices obeying a set of convex constraints. This problem may be understood as the convex relaxation of a rank minimization problem, and arises in many important applications as in the task
Compactness of products of Hankel operators on convex
"... Abstract. Let Ω be a piecewise smooth bounded convex Reinhardt domain in C2. Assume that the symbols φ and ψ are continuous on Ω and harmonic on the disks in the boundary of Ω. We show that if the product of Hankel operators H∗ψHφ is compact on the Bergman space of Ω, then on any disk in the boundar ..."
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Abstract. Let Ω be a piecewise smooth bounded convex Reinhardt domain in C2. Assume that the symbols φ and ψ are continuous on Ω and harmonic on the disks in the boundary of Ω. We show that if the product of Hankel operators H∗ψHφ is compact on the Bergman space of Ω, then on any disk
On Hankel Operators on Hardy and Bergman Spaces and Related Questions
"... In this partly expository paper we analyze the (small) Hankel operator h b on Hardy and Bergman spaces on a class of smoothly bounded domains of nite type in C which includes the strictly pseudoconvex domains and the convex domains. ..."
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In this partly expository paper we analyze the (small) Hankel operator h b on Hardy and Bergman spaces on a class of smoothly bounded domains of nite type in C which includes the strictly pseudoconvex domains and the convex domains.
HANKEL OPERATORS AND THE DIXMIER TRACE ON STRICTLY PSEUDOCONVEX DOMAINS
"... Abstract. Generalizing earlier results for the disc and the ball, we give a formula for the Dixmier trace of the product of 2n Hankel operators on Bergman spaces of strictly pseudoconvex domains in Cn. The answer turns out to involve the dual Levi form evaluated on boundary derivatives of the symbol ..."
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Cited by 4 (1 self)
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Abstract. Generalizing earlier results for the disc and the ball, we give a formula for the Dixmier trace of the product of 2n Hankel operators on Bergman spaces of strictly pseudoconvex domains in Cn. The answer turns out to involve the dual Levi form evaluated on boundary derivatives
HANKEL OPERATORS AND WEAK FACTORIZATION FOR HARDYORLICZ SPACES
, 902
"... This paper is dedicated to the memory of Andrzej Hulanicki who was a colleague, a friend we will never forget. Abstract. We study the holomorphic HardyOrlicz spaces H Φ (Ω), where Ω is the unit ball or, more generally, a convex domain of finite type or a strictly pseudoconvex domain in C n. The fun ..."
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Cited by 14 (3 self)
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This paper is dedicated to the memory of Andrzej Hulanicki who was a colleague, a friend we will never forget. Abstract. We study the holomorphic HardyOrlicz spaces H Φ (Ω), where Ω is the unit ball or, more generally, a convex domain of finite type or a strictly pseudoconvex domain in C n
Powers of the Szegö Kernel and Hankel Operators on Hardy Spaces
"... In this paper we study the action of certain integral operators on spaces of holomorphic functions on some domains in Cn: These integral operators are defined by using powers of the Szegö kernel as integral kernel. We show that they act like differential operators, or like pseudodifferential opera ..."
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differential operators of not necessarily integral order. These operators may be used to give equivalent norms for the Besov spaces Bp of holomorphic functions. As a consequence we prove that, when 1 p < 1; the small Hankel operators hf on Hardy and weighted Bergman spaces are in the Schatten class Sp if and only
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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is similar to that of the classical Hankel operators (0Hankel operators). In particular, we show that positivity of #Hankel operators is equivalent to a generalized Hamburger moment problem. We show that certain linear spaces of noninvertible operators have the property that every compact subset
STRICTLY CONVEX CORNERS SCATTER
"... Abstract. We prove the absence of nonscattering energies for potentials in the plane having a corner of angle smaller than pi. This extends the earlier result of Bl̊asten, Päivärinta and Sylvester who considered rectangular corners. In three dimensions, we prove a similar result for any potential ..."
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potential with a circular conic corner whose opening angle is outside a countable subset of (0, pi). 1.
Documenta Math. 601 Hankel Operators and the Dixmier Trace on Strictly Pseudoconvex Domains
, 2009
"... Abstract. Generalizing earlier results for the disc and the ball, we give a formula for the Dixmier trace of the product of 2n Hankel operators on Bergman spaces of strictly pseudoconvex domains in C n. The answer turns out to involve the dual Levi form evaluated on boundary derivatives of the symbo ..."
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Abstract. Generalizing earlier results for the disc and the ball, we give a formula for the Dixmier trace of the product of 2n Hankel operators on Bergman spaces of strictly pseudoconvex domains in C n. The answer turns out to involve the dual Levi form evaluated on boundary derivatives
Results 1  10
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753