Results 21 to 30 of about 19,014 (240)
Some properties of b-weakly compact operators on Banach lattices
پژوهشهای ریاضی, 2021 In this paper we give some necessary and sufficient conditions for which each Banach lattice is space and we study some properties of b-weakly compact operators from a Banach lattice into a Banach space .
Kazem Haghnejad azar, Akbar Bahramnezhad
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Journal of Functional Analysis, 2023 The construction of the free Banach lattice generated by a real Banach space is extended to the complex setting. It is shown that for every complex Banach space $E$ there is a complex Banach lattice $FBL_{\mathbb C}[E]$ containing a linear isometric copy of $E$ and satisfying the following universal property: for every complex Banach lattice $X_ ...
David de Hevia, Pedro Tradacete
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Two weight inequality for vector-valued positive dyadic operators by parallel stopping cubes [PDF]
, 2015 We study the vector-valued positive dyadic operator \[T_\lambda(f\sigma):=\sum_{Q\in\mathcal{D}} \lambda_Q \int_Q f \mathrm{d}\sigma 1_Q,\] where the coefficients $\{\lambda_Q:C\to D\}_{Q\in\mathcal{D}}$ are positive operators from a Banach lattice $C$
Hänninen, Timo S.
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The free Banach lattice generated by a lattice [PDF]
Positivity, 2018 This last version differs from the published version in that it contains a new proof of Lemma 5.3. The previous proof worked for the particular case in which the lemma was applied, but it was wrong for the lemma as stated in ...
Antonio Avilés +1 more
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Some results about unbounded convergences in Banach lattices
پژوهشهای ریاضی, 2022 Introduction Suppose E is a Banach lattice. A net (xα) in E is said to be unbounded absolute weak convergent (uaw-convergent, for short) to x∈E provided that the net (xα-x˄u) convergences to zero, weakly, whenever u∈E+.
Omid Zabeti
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On the Lattice Properties of Almost L-Weakly and Almost M-Weakly Compact Operators
Journal of Function Spaces, 2021 We establish the domination property and some lattice approximation properties for almost L-weakly and almost M-weakly compact operators. Then, we consider the linear span of positive almost L-weakly (resp., almost M-weakly) compact operators and give ...
Barış Akay, Ömer Gök
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A Note of Jessen’s Inequality and Their Applications to Mean-Operators
Mathematics, 2022 A variant of Jessen’s type inequality for a semigroup of positive linear operators, defined on a Banach lattice algebra, is obtained. The corresponding mean value theorems lead to a new family of mean-operators.
Gul I Hina Aslam +2 more
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Bu’s theorem in the positive situation
Moroccan Journal of Pure and Applied Analysis, 2022 In this paper, we valorize the relationship between positive p−summing operators and positive strongly q−summing operators using (Contemp. Math. 328, 145 − 149 (2003)).
Bougoutaia Amar, Belacel Amar
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Interpolation of Banach lattices [PDF]
Studia Mathematica, 1985 For each couple \(\bar X=(X_ 0,X_ 1)\) of Banach lattices and each non- negative concave function \(\phi\) let \(\) and \(\phi(\bar X)\) denote the \(\pm\) interpolation spaces of Gustavsson-Peetre respectively the Calderón-Lozanovskij construction. In this note we show that these spaces essentially coincide.
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A description of the Stone space of Banach lattice C(K,E)
Journal of Function Spaces and Applications, 2006 We give a topological description of the Stone space of C(K,E), Banach lattices of continuous functions from a compact Hausdorff space K into a Banach lattice E.
Zafer Ercan
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