Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4672941 | Indagationes Mathematicae | 2015 | 11 Pages |
Abstract
We prove that if an FF-lattice EE is locally bounded (i.e., an open ball in EE centered at 00 is topologically bounded) then every orthomorphism in EE is central: Orth(E)=Z(E)Orth(E)=Z(E). This solves partially a problem raised recently by Chil and Meyer.For the Nakano (non-Banach) FF-lattice E=ℓ(pn)E=ℓ(pn), 0
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Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Marek Wójtowicz, Halina Wiśniewska,