2003, Memoirs of the American Mathematical Society, ISBN 0821833820, Volume no. 787., v, 127

Book

1991, Universitext, ISBN 3540542019, xv, 395 p. --

Book

1984, 1. Aufl. --, Teubner-Texte zur Mathematik, Volume Bd. 71, 208 p. --

Book

1974, Die Grundlehren der mathematischen Wissenschaften in Einzeldarstellungen mit besonderer Berücksichtigung der Anwendungsgebiete, ISBN 9780387069364, Volume Bd. 215, xi, 376 p. --

Book

Israel Journal of Mathematics, ISSN 0021-2172, 3/2019, Volume 230, Issue 1, pp. 141 - 152

We construct separable universal injective and projective lattices for the class of all separable Banach lattices.

Algebra | Analysis | Theoretical, Mathematical and Computational Physics | Mathematics, general | Mathematics | Group Theory and Generalizations | Applications of Mathematics | MATHEMATICS | Lattice theory | Research | Banach spaces | Mathematical research

Algebra | Analysis | Theoretical, Mathematical and Computational Physics | Mathematics, general | Mathematics | Group Theory and Generalizations | Applications of Mathematics | MATHEMATICS | Lattice theory | Research | Banach spaces | Mathematical research

Journal Article

1993, ISBN 9780821825570, Volume no. 493., vi, 92

Book

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 11/2016, Volume 443, Issue 2, pp. 1362 - 1369

Suppose that is a Banach lattice containing no Banach sublattice isomorphic to and consider the Banach lattices of X-valued continuous functions defined on the...

Kaplansky's theorem | Lattices without copies of [formula omitted] | [formula omitted] Banach lattices | Cancellation law | C(K, X) Banach lattices | Lattices without copies of c | MATHEMATICS | MATHEMATICS, APPLIED | SQUARE | SPACES

Kaplansky's theorem | Lattices without copies of [formula omitted] | [formula omitted] Banach lattices | Cancellation law | C(K, X) Banach lattices | Lattices without copies of c | MATHEMATICS | MATHEMATICS, APPLIED | SQUARE | SPACES

Journal Article

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 07/2017, Volume 451, Issue 1, pp. 259 - 279

A net in a Banach lattice is said to un-converge to a vector if for every . In this paper, we investigate un-topology, i.e., the topology that corresponds to...

Un-convergence | Banach lattice | Uo-convergence | Un-topology | MATHEMATICS | MATHEMATICS, APPLIED | ORDER CONVERGENCE

Un-convergence | Banach lattice | Uo-convergence | Un-topology | MATHEMATICS | MATHEMATICS, APPLIED | ORDER CONVERGENCE

Journal Article

2014, Mathematical surveys and monographs, ISBN 9781470414566, Volume 196, xx, 594

Convex geometry | Functional analysis -- Normed linear spaces and Banach spaces; Banach lattices -- Normed linear spaces and Banach spaces; Banach lattices | Probability theory and stochastic processes -- Geometric probability and stochastic geometry -- Geometric probability and stochastic geometry | Banach lattices | Measure and integration -- Classical measure theory -- Classical measure theory | Convex and discrete geometry -- General convexity -- General convexity

Book

Monatshefte für Mathematik, ISSN 0026-9255, 2/2019, Volume 188, Issue 2, pp. 321 - 350

We study the class of (p, q)-regular operators between quasi-Banach lattices. In particular, a representation of this class as the dual of a certain tensor...

47L20 | Banach lattice | 46M05 | Marcinkiewicz–Zygmund inequalities | 46B42 | Mathematics, general | ( p , q )-Regular operator | Mathematics | Lattice tensor norm | (p, q)-Regular operator | INTERPOLATION | MATHEMATICS | Marcinkiewicz-Zygmund inequalities | (p,q)-Regular operator | PRODUCTS | THEOREM

47L20 | Banach lattice | 46M05 | Marcinkiewicz–Zygmund inequalities | 46B42 | Mathematics, general | ( p , q )-Regular operator | Mathematics | Lattice tensor norm | (p, q)-Regular operator | INTERPOLATION | MATHEMATICS | Marcinkiewicz-Zygmund inequalities | (p,q)-Regular operator | PRODUCTS | THEOREM

Journal Article

2017, Mathematical surveys and monographs, ISBN 9781470434687, Volume no. 223., xxi, 414 pages

Book

Acta Mathematica Hungarica, ISSN 0236-5294, 8/2018, Volume 155, Issue 2, pp. 324 - 331

Several Komlós like properties in Banach lattices are investigated. We prove that C(K) fails the $${oo}$$ oo -pre-Komlós property, assuming that the compact...

o −convergence | Banach lattice | un -convergence | 46B42 | Mathematics, general | Mathematics | Komlós set | space of continuous functions | uo −convergence | Komlós property | un-convergence | o−convergence | uo−convergence

o −convergence | Banach lattice | un -convergence | 46B42 | Mathematics, general | Mathematics | Komlós set | space of continuous functions | uo −convergence | Komlós property | un-convergence | o−convergence | uo−convergence

Journal Article

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 09/2018, Volume 465, Issue 2, pp. 1223 - 1229

We show that for an arbitrary Banach space , the free Banach lattice generated by satisfies the -bounded chain condition.

Positively homogeneous continuous functions | σ-Bounded chain condition | Free Banach lattice | Knaster's condition | Countable chain condition | MATHEMATICS | MATHEMATICS, APPLIED | HORN | sigma-Bounded chain condition | TARSKI

Positively homogeneous continuous functions | σ-Bounded chain condition | Free Banach lattice | Knaster's condition | Countable chain condition | MATHEMATICS | MATHEMATICS, APPLIED | HORN | sigma-Bounded chain condition | TARSKI

Journal Article

Proceedings of the American Mathematical Society, ISSN 0002-9939, 01/2019, Volume 147, Issue 1, pp. 271 - 284

We study the domination of the lattice Hardy-Littlewood maximal operator by sparse operators in the setting of general Banach lattices. We prove that the...

Hardy-Littlewood maximal operator | p-convexity | Banach lattice | Muckenhoupt weightsx | Sparse domination | MATHEMATICS, APPLIED | PROPERTY | BANACH-LATTICES | POINTWISE ESTIMATE | Muckenhoupt weights | MATHEMATICS | OSCILLATION DECOMPOSITION | sparse domination | CALDERON-ZYGMUND OPERATORS | SINGULAR-INTEGRALS | Mathematics - Classical Analysis and ODEs

Hardy-Littlewood maximal operator | p-convexity | Banach lattice | Muckenhoupt weightsx | Sparse domination | MATHEMATICS, APPLIED | PROPERTY | BANACH-LATTICES | POINTWISE ESTIMATE | Muckenhoupt weights | MATHEMATICS | OSCILLATION DECOMPOSITION | sparse domination | CALDERON-ZYGMUND OPERATORS | SINGULAR-INTEGRALS | Mathematics - Classical Analysis and ODEs

Journal Article

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 06/2017, Volume 450, Issue 2, pp. 1245 - 1274

In the setting of a Dedekind complete Riesz space on which a conditional expectation is defined, we study the Itô integral. This integral obtains the...

Doob–Meyer decomposition | Vector integration | Itô integral | Stochastic process | Martingale | Vector lattice | BROWNIAN-MOTION | Ito integral | MATHEMATICS, APPLIED | THEOREM | RIESZ SPACES | MATHEMATICS | CONVERGENT MARTINGALES | Doob-Meyer decomposition | BANACH-SPACES | Stochastic processes

Doob–Meyer decomposition | Vector integration | Itô integral | Stochastic process | Martingale | Vector lattice | BROWNIAN-MOTION | Ito integral | MATHEMATICS, APPLIED | THEOREM | RIESZ SPACES | MATHEMATICS | CONVERGENT MARTINGALES | Doob-Meyer decomposition | BANACH-SPACES | Stochastic processes

Journal Article

ACTA MATHEMATICA HUNGARICA, ISSN 0236-5294, 08/2018, Volume 155, Issue 2, pp. 324 - 331

Several Komls like properties in Banach lattices are investigated. We prove that C(K) fails the -pre-Komls property, assuming that the compact Hausdorff space...

MATHEMATICS | Banach lattice | uo-convergence | un-convergence | Komlos set | space of continuous functions | o-convergence | Komlos property

MATHEMATICS | Banach lattice | uo-convergence | un-convergence | Komlos set | space of continuous functions | o-convergence | Komlos property

Journal Article

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 11/2018, Volume 467, Issue 2, pp. 1287 - 1296

Let and be compact Hausdorff spaces and a Banach lattice with , where We prove that if is a positive isomorphism from into then for some natural number there...

[formula omitted] Banach lattices | Positive into isomorphisms | Upper semicontinuous set-valued mappings | (K,X) Banach lattices | MATHEMATICS | C-0(K, X) Banach lattices | MATHEMATICS, APPLIED | BANACH-LATTICES

[formula omitted] Banach lattices | Positive into isomorphisms | Upper semicontinuous set-valued mappings | (K,X) Banach lattices | MATHEMATICS | C-0(K, X) Banach lattices | MATHEMATICS, APPLIED | BANACH-LATTICES

Journal Article

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 06/2018, Volume 462, Issue 1, pp. 712 - 729

The purpose of this article is to give some applications of the purely order based Kantorovich–Wright integration to functional representation of quasi-Banach...

Positive vector measure | Space of integrable functions | Bartle–Dunford–Schwartz integration | Integration operator | Kantorovich–Wright integration | Quasi-Banach lattice | MATHEMATICS | MATHEMATICS, APPLIED | Bartle-Dunford-Schwartz integration | VECTOR MEASURES | ALGEBRA-VALUED MEASURES | Kantorovich-Wright integration

Positive vector measure | Space of integrable functions | Bartle–Dunford–Schwartz integration | Integration operator | Kantorovich–Wright integration | Quasi-Banach lattice | MATHEMATICS | MATHEMATICS, APPLIED | Bartle-Dunford-Schwartz integration | VECTOR MEASURES | ALGEBRA-VALUED MEASURES | Kantorovich-Wright integration

Journal Article

2015, Mathematical surveys and monographs, ISBN 9781470421939, Volume 202, v.

Book

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 04/2014, Volume 412, Issue 1, pp. 547 - 553

We introduce and study the class of almost limited sets in Banach lattices, that is, sets on which every disjoint null sequence of functionals converges...

Almost Dunford–Pettis operator | Banach lattice | Almost limited set | The [formula omitted] property | Positive Schur property | Almost Dunford-Pettis operator | The wDP property | MATHEMATICS | MATHEMATICS, APPLIED

Almost Dunford–Pettis operator | Banach lattice | Almost limited set | The [formula omitted] property | Positive Schur property | Almost Dunford-Pettis operator | The wDP property | MATHEMATICS | MATHEMATICS, APPLIED

Journal Article

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