Fredholm and Local Spectral Theory, with Applications to Multipliers

The book delves into the spectral theory of multipliers within complex commutative Banach algebras, highlighting its significance beyond classical Hilbert space contexts. Despite extensive research on multipliers, aspects like Fredholm and Riesz theory have been underexplored, even though they parallel the behavior of normal operators in Hilbert spaces. Recent advancements in the field, driven by local spectral and Fredholm theory studies, have notably enhanced understanding, culminating in a comprehensive work by Laursen and Neumann that consolidates current knowledge.