Prof. Aurelian Gheondea of the Department of Mathematics recently published a book with Cambridge University Press. “An Indefinite Excursion in Operator Theory: Geometric and Spectral Treks in Krein Spaces” is a modern monograph dedicated to operator theory on spaces with indefinite inner product. The publication covers the key results from the last four decades in a readable way with full proofs provided throughout. Step by step, the reader is guided through the intricate geometry and topology of spaces with indefinite inner product.
The book then presents the geometry and spectral theory of operators on these spaces, the deep interplay with complex analysis and the applications to interpolation problems.