Abstract
AbstractThe aim of this work is to study the structure of bounded finite potent endomorphisms on Hilbert spaces. In particular, for these operators, an answer to the Invariant Subspace Problem is given and the main properties of its adjoint operator are offered. Moreover, for every bounded finite potent endomorphism we show that Tate’s trace coincides with the Leray trace and with the trace defined by R. Elliott for Riesz Trace Class operators.
Funder
Consejería de Educación, Junta de Castilla y León
Ministerio de Ciencia y Tecnología
Publisher
Springer Science and Business Media LLC
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