Banach spaces of compact operators
Charles E. Cleaver (1972)
Colloquium Mathematicae
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Displaying similar documents to “Inertial forward-backward splitting method in Banach spaces with application to compressed sensing”
Banach spaces of compact operators
On Compact Sets of Compact Operators on Banach Spaces not Containing a Copy of l^1
Akkouchi, Mohamed (2016-05-20T09:55:13Z)
Acta Universitatis Lodziensis. Folia Mathematica
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Constructing non-compact operators into c₀
Iryna Banakh, Taras Banakh (2010)
Studia Mathematica
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We prove that for each dense non-compact linear operator S: X → Y between Banach spaces there is a linear operator T: Y → c₀ such that the operator TS: X → c₀ is not compact. This generalizes the Josefson-Nissenzweig Theorem.
Linear Colligations and Dynamic System Corresponding to Operators in the Banach Space
Hatamleh, Raed (2007)
Serdica Mathematical Journal
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2000 Mathematics Subject Classification: Primary 47A48, 93B28, 47A65; Secondary 34C94. New concepts of linear colligations and dynamic systems, corresponding to the linear operators, acting in the Banach spaces, are introduced. The main properties of the transfer function and its relation to the dual transfer function are established.
Extremely non-complex Banach spaces
Miguel Martín, Javier Merí (2011)
Open Mathematics
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A Banach space X is said to be an extremely non-complex space if the norm equality ∥Id +T 2∥ = 1+∥T 2∥ holds for every bounded linear operator T on X. We show that every extremely non-complex Banach space has positive numerical index, it does not have an unconditional basis and that the infimum of diameters of the slices of its unit ball is positive.
Commutators in Banach *-algebras
Bertram Yood (2008)
Studia Mathematica
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The set of commutators in a Banach *-algebra A, with continuous involution, is examined. Applications are made to the case where A = B(ℓ₂), the algebra of all bounded linear operators on ℓ₂.
Generic properties of infinite system of integral equations in Banach spaces
Władysław Orlicz, Stanisław Szufla (1981)
Annales Polonici Mathematici
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Some fixed point theorems in Banach spaces
K. Goebel, E. Złotkiewicz (1971)
Colloquium Mathematicae
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A remark on Ʌ-systems in Banach spaces
J. R. Holub (1971)
Colloquium Mathematicae
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On the structure of solutions sets of differential and integral equations in Banach spaces
Stanisław Szufla (1977)
Annales Polonici Mathematici
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On a fixed-point theorem of Banach type
Jochen Reinermann (1970)
Annales Polonici Mathematici
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On the existence of solutions of an integro-differential equation in Banach spaces
Stanisław Szufla (2009)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
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On the existence of solutions of differential equations of retarded type in a Banach space
V. Lakshmikantham, A. R. Mitchell, R. W. Mitchell (1978)
Annales Polonici Mathematici
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Deviation from weak Banach–Saks property for countable direct sums
Andrzej Kryczka (2014)
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica
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We introduce a seminorm for bounded linear operators between Banach spaces that shows the deviation from the weak Banach–Saks property. We prove that if (Xv) is a sequence of Banach spaces and a Banach sequence lattice E has the Banach–Saks property, then the deviation from the weak Banach–Saks property of an operator of a certain class between direct sums E(Xv) is equal to the supremum of such deviations attained on the coordinates Xv. This is a quantitative version for operators of...