Boolean Valued Analysis: Background and Results
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Publication:5013599
DOI10.1007/978-3-030-49763-7_9zbMath1482.06003OpenAlexW3119503949MaRDI QIDQ5013599
Anatoly G. Kusraev, Semen S. Kutateladze
Publication date: 2 December 2021
Published in: Trends in Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-030-49763-7_9
vector latticeBoolean valued analysisGordon's theoremBoolean valued representationKantorovich's principle
Ordered rings, algebras, modules (06F25) Ordered topological linear spaces, vector lattices (46A40) Nonclassical models (Boolean-valued, sheaf, etc.) (03C90)
Cites Work
- Classification of injective Banach lattices
- Boolean valued interpretation of Hilbert space theory
- Boolean-linear spaces
- Concerning problem 18 from Goodearl's book ``Von Neumann regular rings
- Atomic decomposition of vector measures
- Theorems on preservation of relations in K-spaces
- Order-continuous functionals in Boolean-valued models of set theory
- An approach to the dimension theory of continuous geometry from the standpoint of Boolean valued analysis
- Banach-Kantorovich spaces
- Boolean valued analysis and type I \(AW^*\)-algebras
- Some applications of Boolean valued set theory to abstract harmonic analysis on locally compact groups
- A classification of type I \(AW^*\)-algebras and Boolean valued analysis
- Von Neumann algebras and Boolean valued analysis
- Banach lattices
- On the Strassen disintegration theorem
- On abstract \(JW\)-algebras
- Boolean-valued analysis and injective Banach lattices
- Order-continuous extension of a positive operator
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- Locally one-dimensional \(K\)-spaces and \(\sigma\)-distributive Boolean algebras
- On the structure of \(AJW\)-algebras of type \(I_2\)
- Two applications of Boolean valued analysis
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- Embeddable AW∗ -Algebras and Regular Completions
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- Boolean simple groups and boolean simple rings
- A transfer principle in harmonic analysis
- Boolean valued Lie algebras
- Extensions of positive operators between Banach lattices
- Extensions and Liftings of Positive Linear Mappings on Banach Lattices
- Two Applications of Logic to Mathematics
- A boolean transfer principle from L*‐Algebras to AL*‐Algebras
- Jordan algebras of self-adjoint operators
- Vector Measures.
- Boolean valued interpretation of Banach space theory and module structures of von Neumann algebras
- Modules Over Operator Algebras
- Une Caracterisation Vectorielle-Metrique Des Espaces L1
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