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Browder spectral systems
Journal article   Open access   Peer reviewed

Browder spectral systems

Raúl E. Curto and A. T. Dash
Proceedings of the American Mathematical Society, Vol.103(2), pp.407-413
06/01/1988
DOI: 10.1090/S0002-9939-1988-0943057-6
url
https://doi.org/10.1090/S0002-9939-1988-0943057-6View
Published (Version of record) Open Access

Abstract

For two spectral systems σ1 and σ2 on a Banach space ℒ, the associated Browder spectral system is σb;1, 2:= σ1⋃′σ2. We prove that σb;1, 2 possesses the projection and spectral mapping properties whenever σ1 and σ2 do (and satisfy a few additional mild assumptions). We also calculate σb;1, 2 for tensor products. The results extend several previous works on Browder spectra.
Browder joint spectra Projection property Spectral system Tensor products

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