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Semigroup Forum

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

Limiting Case for Interpolation Spaces Generated by Holomorphic Semigroups

  • Gabriella DiBlasio

tA

)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.

Keywords

Parabolic Equation Interesting Property Relevant Property Approximation Theory Interpolation Space 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag New York Inc. 1998

Authors and Affiliations

  • Gabriella DiBlasio

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