نتایج جستجو برای: almost additive maps

تعداد نتایج: 369541  

2004
KRZYSZTOF CIESIELSKI JANUSZ PAWLIKOWSKI

We prove that the Covering Property Axiom CPA prism, which holds in the iterated perfect set model, implies that there exists an additive discontinuous almost continuous function f : R → R whose graph is of measure zero. We also show that, under CPA prism, there exists a Hamel basis H for which, E+(H), the set of all linear combinations of elements from H with positive rational coefficients, is...

Journal: :Journal of Geometry and Physics 2018

Journal: :Journal of Pure and Applied Algebra 2004

Journal: :Topology and its Applications 2006

Journal: :Journal of Mathematical Analysis and Applications 1999

Mathieu and Ruddy proved that if be a unital spectral isometry from a unital C*-algebra Aonto a unital type I C*-algebra B whose primitive ideal space is Hausdorff and totallydisconnected, then is Jordan isomorphism. The aim of this note is to show that if be asurjective spectrum preserving additive map, then is a Jordan isomorphism without the extraassumption totally disconnected.

Journal: :The Electronic Journal of Linear Algebra 2021

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