Results 191 to 200 of about 1,449 (232)
Some of the next articles are maybe not open access.
Banach Spaces and Banach Lattices
2016We shall now give some background in the theory of normed and Banach spaces, including the key definitions of dual and bidual spaces and of an isomorphism and an isometric isomorphism between two normed spaces. In particular, we shall show how certain bidual spaces can be embedded in other Banach spaces.
H. G. Dales +3 more
openaire +1 more source
Dual banach lattices and Banach lattices with the Radon-Nikodym property
Israel Journal of Mathematics, 1981We construct a separable dual Banach latticeE such that no non-trivial order interval of its dual is weakly compact. HenceE has the Radon-Nikodym property without being in some sense a dual in a natural way.
openaire +2 more sources
Siberian Mathematical Journal, 1987
A Banach space is called Grothendieck iff weak and weak* convergences of sequences in the dual space coincide. The author gives criteria for being Grothendieck in the class of Banach lattices.
openaire +2 more sources
A Banach space is called Grothendieck iff weak and weak* convergences of sequences in the dual space coincide. The author gives criteria for being Grothendieck in the class of Banach lattices.
openaire +2 more sources
Classification of injective banach lattices
Doklady Mathematics, 2013An injective Banach lattice is a real Banach lattice \(X\) having the following extension property: For every Banach lattice \(Y\), every closed sublattice \(Y_{0}\) of \(Y\) and every positive linear operator \(T_{0}\in L(Y_{0},X)\), there exists a positive linear operator \(T\in L(Y,X)\) such that \(T|_{Y_{0}}=T_{0}\) and \(\left\| T\right\| =\left\|
openaire +1 more source
Separable universal Banach lattices
Israel Journal of Mathematics, 2019We construct separable universal injective and projective lattices for the class of all separable Banach lattices.
Denny H. Leung +3 more
openaire +1 more source
Banach Lattices of Bounded Operators
Mathematische Nachrichten, 1979AbstractThere are given two equivalent methods to construct BANACH lattices of compact operators. All known examples of such lattices are included.
openaire +2 more sources
1991
This section is concerned with C(K)-spaces and M-spaces. In particular, will we deduce those properties of C(K)-spaces which are closely related to the theory of Riesz spaces. An important result presented here is Kakutani’s representation theorem for an M-spaces with a unit. It plays still an important role in the theory of Riesz spaces, although many
openaire +1 more source
This section is concerned with C(K)-spaces and M-spaces. In particular, will we deduce those properties of C(K)-spaces which are closely related to the theory of Riesz spaces. An important result presented here is Kakutani’s representation theorem for an M-spaces with a unit. It plays still an important role in the theory of Riesz spaces, although many
openaire +1 more source
Polynomials on Banach Lattices
2021Homogeneous polynomials are vital in the study of analytic functions on Banach spaces, as they are the components of the Taylor series that represent the functions locally. As most of the classical Banach spaces are Banach lattices, it is natural to work with polynomials that are coherent with the lattice structure. Thus, we study regular homogeneous
openaire +1 more source
1991
In this section we mainly are interested in showing characterizations of properties of subspaces of Banach lattices. Moreover we will use the theory of order weakly compact operators to prove some results for arbitrary Banach spaces. First we will recall some basic facts concerning Schauder bases and topological embeddings of c0.
openaire +1 more source
In this section we mainly are interested in showing characterizations of properties of subspaces of Banach lattices. Moreover we will use the theory of order weakly compact operators to prove some results for arbitrary Banach spaces. First we will recall some basic facts concerning Schauder bases and topological embeddings of c0.
openaire +1 more source