Semigroup Forum

, Volume 57, Issue 3, pp 359–377 | Cite as

Limiting Case for Interpolation Spaces Generated by Holomorphic Semigroups

  • Gabriella DiBlasio


)t≥0 on X. We denote by XA(θ,p), for 0 < θ < 1, the interpolation spaces of X and D(A) introduced by Berens and Butzer in [1]. These spaces play an important role in the approximation theory ( [2] ) as well as in the study of the abstract parabolic equation u′ (t) = Au(t) + f(t) ( [3] ). It has been proved in [6] that these spaces are meaningful (and still enjoy relevant properties) also in the case θ = 0. In this paper we continue the study of [6] and prove new interesting properties of these spaces.


Parabolic Equation Interesting Property Relevant Property Approximation Theory Interpolation Space 
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© 1998 Springer-Verlag New York Inc.

Authors and Affiliations

  • Gabriella DiBlasio

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