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1
Content available remote Weak and almost Dunford-Pettis operators on Banach lattices
Aqzzouz B., Bouras K.
Demonstratio Mathematica
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2013
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Vol. 46, nr 1
165--179
EN
We introduce the class of Banach lattices with the AM-compactness property and we use it to characterize Banach lattices on which each positive weak Dunford–Pettis operator is almost Dunford–Pettis and conversely.
2
Content available remote Convergence results for a class of pramarts and superpramarts in Banach spaces
Castaing C., Salvadori A.
Commentationes Mathematicae
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2013
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Vol. 53, No. 2
223--253
3
Nirenberg-type problems in Banach lattices
Duma A., Duma I.
Journal of Applied Analysis
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2010
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Vol. 16, nr 2
189-197
EN
A slightly modified version of the celebrated Nirenberg problem concerning expanding maps is considered. A positive answer is given for a type of lattice-expansive operators in discrete Hilbert lattices. Our approach is motivated by the study of the infinite systems of nonlinear equations.
4
Content available remote A new proof of the lattice-valued Banach-stone theorem
Ercan Z., Onal S.
Demonstratio Mathematica
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2006
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Vol. 39, nr 2
469-470
EN
We present a veryJpmple proof of a theorem (in [1]) on support of a Riesz homomorphism.
5
Content available remote On local approximation of positive operators
Alpay S., Uyar A.
Demonstratio Mathematica
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2002
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Vol. 35, nr 3
607-620
6
Content available remote Ordinary differential equations in Banach lattices
Weigel H.
Annales Societatis Mathematicae Polonae. Seria 1: Commentationes Mathematicae
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2002
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[Z] 42(1)
113-124
EN
In the present paper initial value problems x = f (t, x), t ϵ I = [0, 1], x (0) = xo in Banach lattices will be investigated with respect to order and topological properties of their solution sets S (f) C ⊆ (I, X).
7
Content available remote Exhaustive submeasures on Boolean rings, Banach lattices and uniform absolute continuity
Huff C., Lewis P.
Bulletin of the Polish Academy of Sciences. Mathematics
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2001
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Vol. 49, no 3
203-210
EN
A bi-sequential version of a classical theorem dealing with uniform absolute continuity in spaces of measures is extended to the setting of submeasures on a Boolean ring. Applications to spaces of vector measures and Banach lattices are discussed.
8
Content available remote The Riesz angle of Orlicz function spaces
Jincai W.
Annales Societatis Mathematicae Polonae. Seria 1: Commentationes Mathematicae
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2000
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[Z] 40
209-223
EN
By using a new quantitative index of N-function, we estimate and calculate the Riesz angle of Orlicz function spaces equipped with either Luxemburg norm or Orlicz norm.
9
Content available remote The type and cotype of Calderon-Lozanovskij spaces
Cerda J., Mastyło M.
Bulletin of the Polish Academy of Sciences. Mathematics
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1999
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Vol. 47, no 2
105-117
EN
We prove certain vector-valued continuous inclusions for Calderon-Lozanovskij spaces and, by interpolation, we obtain results on the type and cotype of these spaces. We also give an extension of Kwapień's result which states that, for [1 is less than or equal to p is less than or equal to 2], every operator from l[sub 1] into l[sub p] is (r,1)-summing, if 1/r=3/2 - 1/p.
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