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Some results in representable Banach spaces.

Miguel Angel Canela (1988)

Publicacions Matemàtiques

Some results are presented, concerning a class of Banach spaces introduced by G. Godefroy and M. Talagrand, the representable Banach spaces. The main aspects considered here are the stability in forming tensor products, and the topological properties of the weak* dual unitball.

Some results on function spaces of varying smoothness

Jan Schneider (2008)

Banach Center Publications

This paper deals with function spaces of varying smoothness B p , s ( ) , where the function :x ↦ s(x) determines the smoothness pointwise. Those spaces were defined in [2] and treated also in [3]. Here we prove results about interpolation, trace properties and present a characterization of these spaces based on differences.

Some results on order weakly compact operators

Belmesnaoui Aqzzouz, Jawad Hmichane (2009)

Mathematica Bohemica

We establish some properties of the class of order weakly compact operators on Banach lattices. As consequences, we obtain some characterizations of Banach lattices with order continuous norms or whose topological duals have order continuous norms.

Some results on packing in Orlicz sequence spaces

Y. Q. Yan (2001)

Studia Mathematica

We present monotonicity theorems for index functions of N-fuctions, and obtain formulas for exact values of packing constants. In particular, we show that the Orlicz sequence space l ( N ) generated by the N-function N(v) = (1+|v|)ln(1+|v|) - |v| with Luxemburg norm has the Kottman constant K ( l ( N ) ) = N - 1 ( 1 ) / N - 1 ( 1 / 2 ) , which answers M. M. Rao and Z. D. Ren’s [8] problem.

Some results on the class of σ -unbounded Dunford-Pettis operators

Noufissa Hafidi, Jawad H'michane (2021)

Commentationes Mathematicae Universitatis Carolinae

We introduce and study the class of unbounded Dunford--Pettis operators. As consequences, we give basic properties and derive interesting results about the duality, domination problem and relationship with other known classes of operators.

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