Normed lattices

DOI10.1007/BF01084868zbMath0478.46018OpenAlexW4211075919MaRDI QIDQ1161126

A. V. Bukhvalov, A. I. Veksler, Vladimir A. Geyler

Publication date: 1982

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01084868

zbMATH Keywords

completenessorder continuityconvergence in measuretensor productapproximation propertyorder convergenceinjective Banach latticessymmetrical spacesp-convexityadjoint spacesisometrical characteristicslocal nonconditional structureOrlicz, Lorentz and Marczinkiewicz spacesp-concavityspaces of measurable vector functionsspaces with mixed norm

Mathematics Subject Classification ID

Classical Banach spaces in the general theory (46B25) Banach lattices (46B42) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15) Ordered topological linear spaces, vector lattices (46A40)

Related Items (2)

A note on natural tensor products containing complemented copies of \(c_0\) ⋮ On interpolation and 𝐾-monotonicity for discrete local Morrey spaces

Cites Work

• Embeddings of Lorentz-Marcinkiewicz spaces with mixed norms
• Zur schwachen Kompaktheit in Banachverbänden
• Complementability of the subspace generated by the Rademacher system in a symmetric space
• Space of antinormal functionals
• Summing and serially summing operators and characterization of AL-spaces
• Absolutely summing operators and local unconditional structures
• The nonstandard hull of a normed Riesz space
• Minimal and reflexive Banach lattices
• Une classe d'espaces de Banach reticules
• A characterisation of weakly sequentially complete Banach lattices
• Indices for Banach function spaces
• All reductive \(\mathfrak p\)-adic groups are tame
• Nonstandard hulls of the classical Banach spaces
• On the characteristic of sets in the space conjugate to a normed structure
• Positive approximate identities and lattice-ordered dual spaces
• On Banach lattices and spaces having local unconditional structure, with applications to Lorentz function spaces
• The structure space of a Banach lattice
• Convergence and divergence of Fourier integrals in the Sobolev-spaces pair
• On the Orlicz function spaces \(L_M(0,\infty)\)
• Eine Bemerkung über Tensorprodukte von Banachverbänden
• On the local structure of subspaces of Banach lattices
• On Banach lattices of operators
• Rademacher series in symmetric spaces
• Factoring absolutely convergent series
• Disjunkte Folgen in Banachverbänden und Kegel-absolutsummierende Operatoren
• Spaces of vector-valued measurable functions
• Sous-espaces de dimension finie des espaces de Banach reticules
• Sur les opérateurs linéaires qui transforment la boule unite d'un espace de Banach en une partie latticiellement bornee d'un espace de Banach reticule
• Order completeness and disjoint completeness of linear partially ordered spaces
• A Banach lattice without the approximation property
• Representation of linear functionals on a class of normed Köthe spaces
• Zur Dualität von Funktoren, die durch Funktionenräume definiert sind
• Über Boolesche Algebren von Projektionen
• Ein verbandstheoretischer Beweis einer Charakterisierung von \(L^p\)- Räumen
• Injective Banach lattices
• Operational Bezoutiant in the theory of separation of roots of entire functions
• The uniform approximation property in Orlicz spaces
• Bicontractive projections and reordering of Lsub(p)-spaces
• Averaging operators on normed Köthe spaces
• A comparison of the relative uniform topology and the norm topology in a normed Riesz space
• An M-space which is not isomorphic to a C(K) space
• On a theorem of J. L. Krivine concerning block finite representability of \(\ell^p\) general Banach spaces
• Representation of spaces of compact operators and applications to the approximation property
• Corrigendum to ``Spaces of vector-valued measurable functions
• Unconditionality in tensor products
• Convergence of submartingales in Banach lattices
• Geometric properties of the unit ball in Hardy-type spaces
• Quotient spaces of Marcinkiewicz spaces
• A class of (b)-complete KN-spaces
• The Hardy-Littlewood property for symmetric spaces
• Sublineare Abbildungen und ein Konvergenzsatz von Banach
• Characterizations and classifications of some classical Banach spaces
• Some characterizations of AM- and AL-spaces
• Une nouvelle définition des cônes biréticulés. (A new définition of bi-lattice-ordered cônes)
• Tensor products of Banach lattices
• Charakterisierung einiger topologischer und ordnungstheoretischer Eigenschaften von Banachverbänden mit Hilfe disjunkter Folgen
• The Choquet theory and representation of ordered Banach spaces
• Banachverbände und positive Projektionen
• Topological representation of abstract \(L_{p}\)-spaces
• Isomorphous Banach structures
• The second dual of the space of continuous functions and the Riemann integral
• Ordered linear spaces
• Rearrangement invariant Köthe spaces
• On weak compactness in the space of Radon measures
• On a characteristic property of the Lorentz space in the class of symmetric spaces
• Note on Köthe spaces
• On injective Banach spaces and the spaces \(L^ \infty(\mu)\) for finite measures \(\mu\)
• On the complemented subspaces problem
• An isomorphic characterization of \(L_ p\) and \(c_ 0\)-spaces. II
• On the representation of Banach lattices by continuous numerical functions
• Isomorphism of symmetric linear partially ordered spaces
• Indices for the Orlicz spaces
• Préduaux de L-espace: Notion de centre. (Preduals of L-spaces: The notion of centre)
• Banach lattices of compact maps
• Unconditional convergence in partially ordered linear spaces
• Reflexivity in Banach lattices and their subspaces
• A note on \(L_p\)-spaces
• The strong topology on a rearrangement invariant Köthe space
• Strictly increasing Riesz norms
• The completion of a B-convex normed Riesz space is reflexive
• Ordnungsstetigkeit in Banachverbänden
• Normed tensor products of Banach lattices
• Cônes engendrés par un compact étoilé ou convexe, applications à l'analyse
• Separable G spaces are isomorphic to C(K) spaces
• Classical Banach spaces
• On spaces in which the norm convergence coincides with the order convergence
• The unbounded bidual of C(X)
• Un théorème du genre Ando-Edwards pour les Frechet ordonnes normaux
• Approximation by order intervals
• Normed Köthe spaces as intermediate spaces of \(L_1\) and \(L_\infty\)
• On some Banach lattices. IV
• Symmetric structures in Banach spaces
• A local characterization of Banach lattices with order continuous norm
• BANACH LATTICES - SOME BANACH ASPECTS OF THEIR THEORY
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• Conditional Expectations and an Isomorphic Characterization of L 1 -Spaces
• Application de l'étude de certaines formes linéaires aléatoires au plongement d'espaces de Banach dans des espaces $L^p$
• The homotopy structure of the linear group of a Banach space
• Integral Functionals in the Duals of L^λ-Spacesc⁽¹⁾
• A note on the lattice properties of the linear maps of finite rank
• A Stone-Weierstrass theorem for Banach lattices
• Extending a norm from a vector lattice to its Dedekind completion
• A Note on the Sum of Two Closed Lattice Ideals
• An approximation property characterizes ordered vector spaces with lattice-ordered duals
• The Convergence of Series for Various Choices of Sign in Banach Spaces
• Positivity and norms
• Carriers and Archimedean Classes in Banach Lattices
• A Universal Measure
• Integral transforms of weak type between rearrangement invariant spaces
• A Banach lattice not weakly projectable
• Extensions of positive operators between Banach lattices
• Applications of Banach ideals of operators
• Banach Lattice Structures on Separable L p Spaces
• Non-Negative Random Measures and Order-Preserving Embeddings
• Ordered Vector-Valued Köthe Spaces
• Nonatomic Banach Lattices Can Have l 1 as a Dual Space
• Banach lattices with a weak order unit
• Tensor products of function spaces
• Sequential Weak Convergence in the Bidual of a Banach Lattice
• Cones in the Tensor Product of Locally Convex Lattices
• Extensions and Liftings of Positive Linear Mappings on Banach Lattices
• Cyclic Banach spaces and reflexive operator algebras
• Some applications of model theory in Banach space theory
• Decomposable measure spaces
• Boolean Algebras of Projections and Reflexive Algebras of Operators
• Some Applications of the L -Constants and M -Constants on Banach Lattices
• Ordered-Subspaces of Some Banach Lattices
• FOURIER COEFFICIENTS OF SUMMABLE FUNCTIONS
• The Duality BetweenM-Spaces and Compact Hausdorff Spaces
• Embedding of rearrangement invariant spaces in Lorentz spaces
• On some parameters associated with normed lattices and on series characterization of M-spaces
• Fatou Properties of Monotone Seminorms on Riesz Spaces
• Relatively Uniform Banach Lattices
• Preregular maps between Banach lattices
• Order and norm convergence in Banach lattices
• The order completeness of some spaces of vector-valued functions
• Application des ultraproduits à l'étude des espaces et des algèbres de Banach
• Closure Properties of C(X) in its Second Dual
• The Structure and Ideal Theory of the Predual of a Banach Lattice
• Is every integral normal?
• Seminorms and the Egoroff Property in Riesz Spaces
• On Banach function spaces
• Reflexivity of Cyclic Banach Spaces
• Some linear topological properties of $L^\infty$ of a finite measure space
• Representation theorems on Banach function spaces
• Completions of normed linear lattices
• Indices of Function Spaces and their Relationship to Interpolation
• Continuity in mixed norms
• On unconditional bases in certain Banach function spaces

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