On the accretivity of the inverse of an accretive relation
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- by Gustaf Gripenberg PDF
- Proc. Amer. Math. Soc. 64 (1977), 91-92 Request permission
Abstract:
If X is a smooth, reflexive, real Banach space such that a relation A in $X \times X$ is accretive iff ${A^{ - 1}}$ is accretive, then X is isomorphic to a Hilbert space.References
- Tosio Kato, Nonlinear semigroups and evolution equations, J. Math. Soc. Japan 19 (1967), 508–520. MR 226230, DOI 10.2969/jmsj/01940508
- J. Lindenstrauss and L. Tzafriri, On the complemented subspaces problem, Israel J. Math. 9 (1971), 263–269. MR 276734, DOI 10.1007/BF02771592
Additional Information
- © Copyright 1977 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 64 (1977), 91-92
- MSC: Primary 47H05; Secondary 46C10, 47B44
- DOI: https://doi.org/10.1090/S0002-9939-1977-0454750-9
- MathSciNet review: 0454750