Abstract
In this paper we discuss a new metric property that some operator algebras on Hilbert space possess and some resulting consequences concerning transitivity and structure theory of such algebras.
Original language | English |
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Pages (from-to) | 1-23 |
Number of pages | 23 |
Journal | Indagationes Mathematicae |
Volume | 25 |
Issue number | 1 |
DOIs | |
State | Published - 5 Jan 2014 |
Bibliographical note
Funding Information:The authors are grateful to March Boedihardjo for several useful remarks concerning this paper and its exposition. They are also grateful to the referee for pointing out several misprints and especially for his constructive remarks which led to several improvements of this paper. This research was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science and Technology ( 2012R1A2A2A02008590 ).
Keywords
- Invariant subspace
- K-spectral set
- Transitive algebra