The Kalton Calculus
نویسنده
چکیده
This article provides a glimpse at Nigel Kalton’s contribution to interpolation of Banach spaces. Examples and concepts which look unrelated at first sight, such as quasi-linear maps, non-trivial twisted sums and interpolating operators are shown to be relevant to the same theory.
منابع مشابه
H∞-calculus for the Sum of Non-commuting Operators
A recent result of Kalton and Weis is extended to the case of noncommuting operators, employing the commutator condition of Labbas and Terreni, or of Da Prato and Grisvard. Under appropriate assumptions it is shown that the sum of two non-commuting operators admits an H∞-calculus. The main results are then applied to a parabolic problem on a wedge domain.
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This is a survey of some of the results which were obtained in the last twelve years on the non-linear geometry of Banach spaces. We focus on the contribution of the late Nigel Kalton.
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تاریخ انتشار 2012