Abstract
The interaction of operator theory and basis theory has provided stimulation to both disciplines. Various types of bases have been used to give interesting examples and counterexamples of non-selfadjoint operator algebras. In the opposite direction, operator theorists have shown that pathologies which were previously known only in specially constructed Banach spaces can also be found in Hilbert space. A brief reveiw of this area is given.
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Erdos, J.A. (1997). Basis Theory and Operator Algebras. In: Katavolos, A. (eds) Operator Algebras and Applications. NATO ASI Series, vol 495. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-5500-7_5
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DOI: https://doi.org/10.1007/978-94-011-5500-7_5
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