Isometries in Banach Spaces: Vector-valued Function Spaces by Richard J. Fleming,James E. Jamison

By Richard J. Fleming,James E. Jamison

A continuation of the authors’ earlier book, Isometries on Banach areas: Vector-valued functionality areas and Operator areas, quantity Two covers a lot of the paintings that has been performed on characterizing isometries on numerous Banach areas.

Picking up the place the 1st quantity left off, the publication starts off with a bankruptcy at the Banach–Stone estate. The authors think of the case the place the isometry is from C0(Q, X) to C0(K, Y) in order that the valuables comprises pairs (X, Y) of areas. the following bankruptcy examines areas X for which the isometries on LP(μ, X) could be defined as a generalization of the shape given via Lamperti within the scalar case. The publication then reviews isometries on direct sums of Banach and Hilbert areas, isometries on areas of matrices with a number of norms, and isometries on Schatten sessions. It as a consequence highlights areas on which the crowd of isometries is maximal or minimum. the ultimate bankruptcy addresses extra peripheral subject matters, akin to adjoint abelian operators and spectral isometries.

Essentially self-contained, this reference explores a basic element of Banach house conception. appropriate for either specialists and rookies to the sphere, it bargains many references to supply reliable insurance of the literature on isometries.

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