Abstract
1. INTRODUCTIONIn this work we study the spectrum of the Maxwell operator. In theself-adjoint case it is well known that the spectrum consists of oneeigenvalue with infinite multiplicity in zero and other eigenvalues havingfinite multiplicities. However, the spectrum of the nonself-adjoint operatorwas not studied much though the nonself-adjoint perturbation rises from avery common phenomena, namely, from the conductivity. In this work weshow that the Maxwell system with conductivity in a bounded domain hasquite a large essential spectrum: The essential spectrum contains aninterval or another nondiscrete set ..Let V be a
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