Results 31 to 40 of about 17,687 (188)
Journal of Inequalities and Applications, 2021 In this article, we investigate the notion of the pre-quasi norm on a generalized Cesàro backward difference sequence space of non-absolute type ( Ξ ( Δ , r ) ) ψ $(\Xi (\Delta,r) )_{\psi }$ under definite function ψ.
Awad A. Bakery, Om Kalthum S. K. Mohamed
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Derivations on Banach algebras
International Journal of Mathematics and Mathematical Sciences, 2003 Let D be a derivation on a Banach algebra; by using the operator D2, we give necessary and sufficient conditions for the separating ideal of D to be nilpotent.
S. Hejazian, S. Talebi
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A New Class of s-type X(u,v;l_p(E)) Operators
Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2019 In thisstudy, we introduce the class of s-type X(u,v;l_p(E)) operators, L_(u,v;E). Also we show that this class is a quasi-Banach operator ideal and we study onthe properties of the classes which are produced via different types ofs-numbers.
Pınar Zengin Alp, Merve İlkhan
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Representation of Banach Ideal Spaces and Factorization of Operators
Canadian Journal of Mathematics, 2005 AbstractRepresentation theorems are proved for Banach ideal spaces with the Fatou property which are built by the Calderón–Lozanovskiĭ construction. Factorization theorems for operators in spaces more general than the Lebesgue Lpspaces are investigated.
Berezhoi, Evgenii I., Maligranda, Lech
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Approximation properties of tensor norms and operator ideals for Banach spaces
Open Mathematics, 2020 For a finitely generated tensor norm α\alpha , we investigate the α\alpha -approximation property (α\alpha -AP) and the bounded α\alpha -approximation property (bounded α\alpha -AP) in terms of some approximation properties of operator ideals.
Kim Ju Myung
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Equivalence after extension for compact operators on Banach spaces
, 2015 In recent years the coincidence of the operator relations equivalence after extension and Schur coupling was settled for the Hilbert space case, by showing that equivalence after extension implies equivalence after one-sided extension.
Messerschmidt, Miek +2 more
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p-representable operators in Banach spaces
International Journal of Mathematics and Mathematical Sciences, 1986 Let E and F be Banach spaces. An operator T∈L(E,F) is called p-representable if there exists a finite measure μ on the unit ball, B(E*), of E* and a function g∈Lq(μ,F), 1p+1q=1, such thatTx=∫B(E*)〈x,x*〉g(x*)dμ(x*)for all x∈E.
Roshdi Khalil
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The Cesáro Lacunary Ideal bounded linear operator of χ2 - of φ-statistical vector valued defined by a bounded linear operator of interval numbers [PDF]
Songklanakarin Journal of Science and Technology (SJST), 2017 Let uv mn A be a sequence of bounded linear operators from a separable Banach metric space of (X , 0) into a Banach metric space (Y, 0). Suppose that φ ∈ Φ is a countable fundamental set of X and the ideal I - of subsets \mathbb{N} x \mathbb{N ...
Deepmala +2 more
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Polynomials in operator space theory: matrix ordering and algebraic aspects
, 2017 We extend the $\lambda$-theory of operator spaces given by Defant and Wiesner (2014), that generalizes the notion of the projective, Haagerup and Schur tensor norm for operator spaces to matrix ordered spaces and Banach $*$-algebras. Given matrix regular
Kumar, Ajay +2 more
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Operators with extension property and the principle of local reflexivity [PDF]
, 1996 Given an arbitrary $p$-Banach ideal $(0 < p \leq 1)$, we ask for geometrical properties of this ideal which are sufficient (and necessary) to allow a transfer of the principle of local reflexivity to this operator ...
Oertel, Frank
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