Spear Operators Between Banach Spaces (Lecture Notes in Mathematics Book 2205) by Vladimir Kadets (PDF)

Description

This monograph is devoted to the study of spear operators, that is, bounded linear operators G between Banach spaces X and Y satisfying that for every other bounded linear operator T:X → Y there exists a modulus-one scalar ω such thatǁ G+ωTǁ = 1 + ǁTǁ.This concept extends the properties of the identity operator in those Banach spaces having numerical index one. Many examples among classical spaces are provided, being one of them the Fourier transform on L₁. The relationships with the Radon-Nikodým property, with Asplund spaces and with the duality, and some isometric and isomorphic consequences are provided. Finally, Lipschitz operators satisfying the Lipschitz version of the equation above are studied. The book could be of interest to young researchers and specialists in functional analysis, in particular to those interested in Banach spaces and their geometry. It is essentially self-contained and only basic knowledge of functional analysis is needed.

User’s Reviews

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐

⭐

Keywords

Free Download Spear Operators Between Banach Spaces (Lecture Notes in Mathematics Book 2205) in PDF format
Spear Operators Between Banach Spaces (Lecture Notes in Mathematics Book 2205) PDF Free Download
Download Spear Operators Between Banach Spaces (Lecture Notes in Mathematics Book 2205) 2018 PDF Free
Spear Operators Between Banach Spaces (Lecture Notes in Mathematics Book 2205) 2018 PDF Free Download
Download Spear Operators Between Banach Spaces (Lecture Notes in Mathematics Book 2205) PDF
Free Download Ebook Spear Operators Between Banach Spaces (Lecture Notes in Mathematics Book 2205)