6533b82efe1ef96bd12945db

RESEARCH PRODUCT

Polaroid operators and Weyl type theorems

Pietro Aiena

subject

AlgebraClass (set theory)Spectral theoryMathematical analysisType (model theory)Mathematics

description

Weyl type theorems have been proved for a considerably large number of classes of operators. In this work, after introducing the class of polaroid operators and some notions from local spectral theory, we determine a theoretical and general framework from which Weyl type theorems may be promptly established for many of these classes of operators. The theory is exemplified by given several examples of hereditarily polaroid operators.

https://doi.org/10.1007/978-3-319-18041-0_1