Compact and strictly singular operators in rearrangement invariant spaces and Rademacher functions
DOI10.1007/s11117-020-00755-9zbMath1480.46038OpenAlexW3016281732MaRDI QIDQ830235
Publication date: 7 May 2021
Published in: Positivity (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11117-020-00755-9
Banach latticerearrangement invariant spaceLorentz spaceOrlicz spacecompact operatordisjointly strictly singular operatorstrictly singular operator\(p\)-disjointly homogeneous latticedisjointly homogeneous lattice
Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Banach lattices (46B42) Linear operators defined by compactness properties (47B07) Interpolation between normed linear spaces (46B70)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Disjointly homogeneous rearrangement invariant spaces via interpolation
- On \(l^ p\)-complemented copies in Orlicz spaces. II
- Rearrangement invariant spaces with Kato property
- Perturbation theory for nullity, deficiency and other quantities of linear operators
- Multiplication operators on \(L(L_{p})\) and \(\ell_{p}\)-strictly singular operators
- Disjointly homogeneous Banach lattices and compact products of operators
- Complementability of the subspace generated by the Rademacher system in a symmetric space
- Banach lattices
- On Banach lattices and spaces having local unconditional structure, with applications to Lorentz function spaces
- Rademacher series in symmetric spaces
- Duality problem for disjointly homogeneous rearrangement invariant spaces
- Strictly singular and power-compact operators on Banach lattices
- Disjointly strictly singular inclusions of symmetric spaces
- Some remarks about disjointly homogeneous symmetric spaces
- Disjointly homogeneous Banach lattices: duality and complementation
- Bases, lacunary sequences and complemented subspaces in the spaces $L_{p}$
- Characterizations of strictly singular operators on Banach lattices
- Strictly singular inclusions of rearrangement invariant spaces and Rademacher spaces
- On the best constants in the Khinchin inequality
- Systems of random variables equivalent in distribution to the Rademacher system and $ \mathscr K$-closed representability of Banach couples
- Disjointly Homogeneous Banach Lattices and Applications
- Banach Lattices with the Subsequence Splitting Property
- Colacunary sequences in L-spaces
- Some properties of embeddings of rearrangement invariant spaces
- Relations Between Function Spaces
- On the uniqueness of the ideals of compact and strictly singular operators