The Kalton-Peck space is the complexification of the real Kalton-Peck space

DOI10.1016/j.jmaa.2022.126374OpenAlexW4281699861MaRDI QIDQ2154414

Yolanda Moreno, Jesús M. Fernandez Castillo

Publication date: 19 July 2022

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2204.00672

zbMATH Keywords

real interpolationcomplex interpolationCKMR interpolation methodcomplexification of a Banach spaceKalton-Peck space

Mathematics Subject Classification ID

Classical Banach spaces in the general theory (46B25) Interpolation between normed linear spaces (46B70) Homological methods in functional analysis (exact sequences, right inverses, lifting, etc.) (46M18)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Strictly singular quasi-linear maps
• Complex structures on twisted Hilbert spaces
• A unified theory of commutator estimates for a class of interpolation methods
• Commutators and interpolation methods
• Differential processes generated by two interpolators
• Higher order estimates in complex interpolation theory
• Complex interpolation and twisted twisted Hilbert spaces
• On a class of interpolation spaces
• Singular twisted sums generated by complex interpolation
• Twisted Sums of Sequence Spaces and the Three Space Problem
• Differentials of Complex Interpolation Processes for Kothe Function Spaces
• ON THE STABILITY OF THE DIFFERENTIAL PROCESS GENERATED BY COMPLEX INTERPOLATION
• Higher order derivatives of analytic families of Banach spaces