Unbounded multipliers and summation of series
A. F. Kleiner (1973)
Colloquium Mathematicae
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A. F. Kleiner (1973)
Colloquium Mathematicae
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Ivan G. Todorov, Lyudmila Turowska (2010)
Banach Center Publications
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The present article is a survey of known results on Schur and operator multipliers. It starts with the classical description of Schur multipliers due to Grothendieck, followed by a discussion of measurable Schur multipliers and a generalisation of Grothendieck's Theorem due to Peller. Thereafter, a non-commutative version of Schur multipliers, called operator multipliers and introduced by Kissin and Schulman, is discussed, and a characterisation extending the description in the commutative...
Raymond Cheng, Javad Mashreghi, William T. Ross (2017)
Concrete Operators
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This paper is selective survey on the space lAp and its multipliers. It also includes some connections of multipliers to Birkhoff-James orthogonality
Kathryn E. Hare, Parasar Mohanty (2005)
Studia Mathematica
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We study the spaces of Lorentz-Zygmund multipliers on compact abelian groups and show that many of these spaces are distinct. This generalizes earlier work on the non-equality of spaces of Lorentz multipliers.
Blasco, Oscar (2005)
International Journal of Mathematics and Mathematical Sciences
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H. M. Wark (2015)
Studia Mathematica
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A proof of a necessary and sufficient condition for a sequence to be a multiplier of the normalized Haar basis of L¹[0,1] is given. This proof depends only on the most elementary properties of this system and is an alternative proof to that recently found by Semenov & Uksusov (2012). Additionally, representations are given, which use stochastic processes, of this multiplier norm and of related multiplier norms.
Gert K. Pedersen (1984)
Mathematische Zeitschrift
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Petkova, Violeta (2009)
Serdica Mathematical Journal
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2000 Mathematics Subject Classification: 42A45. For a Hilbert space H ⊂ L1loc(R) of functions on R we obtain a representation theorem for the multipliers M commuting with the shift operator S. This generalizes the classical result for multipliers in L2(R) as well as our previous result for multipliers in weighted space L2ω(R). Moreover, we obtain a description of the spectrum of S.
M. Jaćimović, I. Krnić, M. M. Potapov (1990)
Matematički Vesnik
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Loukas Grafakos, Nigel J. Kalton (2001)
Studia Mathematica
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This article is concerned with the question of whether Marcinkiewicz multipliers on give rise to bilinear multipliers on ℝⁿ × ℝⁿ. We show that this is not always the case. Moreover, we find necessary and sufficient conditions for such bilinear multipliers to be bounded. These conditions in particular imply that a slight logarithmic modification of the Marcinkiewicz condition gives multipliers for which the corresponding bilinear operators are bounded on products of Lebesgue and Hardy...
K. Unni (1974)
Studia Mathematica
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Marek Bożejko (1987)
Colloquium Mathematicae
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Hans Triebel (1979)
Banach Center Publications
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M. Wojciechowski (2002)
Studia Mathematica
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Öztop, S. (2000)
International Journal of Mathematics and Mathematical Sciences
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Benjamin A. Lotto, Donald Sarason (1991)
Revista Matemática Iberoamericana
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L. de Branges has originated a viewpoint one of whose repercussions has been the detailed analysis of certain Hilbert spaces of holomorphic functions contained within the Hardy space H of the unit disk (...).