Results 191 to 200 of about 11,294 (215)
Unbounded norm continuous operators and strong continuous operators on Banach lattices
, 2019 Zhangjun Wang, Zili Chen, Jinxi Chen
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BANACH LATTICES - SOME BANACH ASPECTS OF THEIR THEORY
Russian Mathematical Surveys, 1979CONTENTSIntroduction § 1. Preliminary results from the theory of Banach lattices § 2. Banach invariant properties of Banach lattices § 3. Banach invariant properties and Banach constants in Banach lattices § 4. Banach theorems in the theory of Banach lattices § 5. The approximation problem in Banach lattices § 6. On Banach spaces that are isomorphic or
Bukhvalov, A. V. +2 more
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Martingales in Banach lattices, II
Positivity, 2010zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gessesse, Hailegebriel E. +1 more
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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
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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.
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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.
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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.
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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\|
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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
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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.
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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
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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
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