Results 11 to 20 of about 21,814 (260)
Compact operators in TRO’s [PDF]
Proceedings of the American Mathematical Society, 2012 We give a geometric characterization of the elements of a ternary ring of operators (or simply, TRO) that can be represented as compact operators by a faithful representation of the TRO.
openaire +2 more sources
Composition operator induced by ?(z) = sz + t for which |s|?1, |t|<1 and |s|+|t|?1
مجلة بغداد للعلوم, 2010 We study in this paper the composition operator that is induced by ?(z) = sz + t. We give a characterization of the adjoint of composiotion operators generated by self-maps of the unit ball of form ?(z) = sz + t for which |s|?1, |t|
Baghdad Science Journal
doaj +1 more source
Representing the Banach operator ideal of completely continuous operators; pp. 189–193 [PDF]
Proceedings of the Estonian Academy of Sciences, 2017 Let V ;Wâ and W be the operator ideals of completely continuous, weakly â-compact, and weakly compact operators, respectively. In a recent paper, William B. Johnson, Eve Oja, and the author proved that V = Wâ â¦W -1 (Johnson, W. B., Lillemets, R.,
Rauni Lillemets
doaj +1 more source
Dynamics of a Compact Operator [PDF]
ISRN Mathematical Analysis, 2011 Let be a compact linear (or more generally affine) operator from a Banach space into itself. For each , the sequence of iterates , , 1, and its averages , 1, are either bounded or approach infinity.
openaire +2 more sources
Properties of Fuzzy Compact Linear Operators on Fuzzy Normed Spaces
مجلة بغداد للعلوم, 2019 In this paper the definition of fuzzy normed space is recalled and its basic properties. Then the definition of fuzzy compact operator from fuzzy normed space into another fuzzy normed space is introduced after that the proof of an operator is fuzzy ...
Kider et al.
doaj +1 more source
On Power Compact Operators [PDF]
Proceedings of the American Mathematical Society, 1980 We give an operator theoretic proof of the following result of D. G. Tacon: Theorem. If { T
openaire +1 more source
Proyecciones (Antofagasta)We give a characterization in terms of the transpose operator for a continuous linear operator between locally convex spaces to map bounded sets into relatively weakly compact [relatively compact, precompact] sets. Our results give a known characterization for compact operators between Banach spaces.
+5 more sources
Extension of Compact Operators from DF-spaces to C(K) spaces
Applied General Topology, 2006 It is proved that every compact operator from a DF-space, closed subspace of another DF-space, into the space C(K) of continuous functions on a compact Hausdorff space K can be extended to a compact operator of the total DF-space.
Fernando Garibay Bonales +1 more
doaj +1 more source
Compactness properties of operators dominated by AM-compact operators [PDF]
Proceedings of the American Mathematical Society, 2007 Based on work of Fremlin, the authors study the domination problem for the class of AM-compact oeprators. Let \(E\) be an arbitrary Banach lattice and let \(S\) and \(T\) be two operators from \(E\) into \(E\) such that \(0\leq S\leq T\) and \(T\) is AM-compact. Then it is shown that \(S^2\) is AM-compact.
Aqzzouz, Belmesnaoui +2 more
openaire +2 more sources
The Bidual of the Compact Operators [PDF]
Transactions of the American Mathematical Society, 1985 For a Banach space X, let \(X^*\) be the dual, B(X) the Banach algebra of bounded linear operators, and \(B_ F(X)\), \(B_ K(X)\) and \(B_ I(K)\) the ideals of finite rank, compact, and integrable operators, respectivly. \textit{A. Grothendieck} [Mem. Am. Math. Soc. 16, 140 p.
openaire +2 more sources