"One of the major unsolved problems in operator theory is the fifty-year-old invariant subspace problem, which asks whether every bounded linear operator on a Hilbert space has a nontrivial closed invariant subspace. This book presents some of the major results in the area, incl…
Hilbertian kernels and spline functions
by Atteia, Marc
fromStudies in computational mathematics
A Hilbert space problem book
by Halmos, Paul R., (Paul Richard)
fromGraduate Texts in Mathematics
From the Preface: "This book was written for the active reader. The first part consists of problems, frequently preceded by definitions and motivation, and sometimes followed by corollaries and historical remarks ... The second part, a very short one, consists of hints ... The t…
The theory of H(b) spaces
by Mashreghi, Javad, Fricain, Emmanuel
fromNew mathematical monographs (Print)
"An H(b) space is defined as a collection of analytic functions which are in the image of an operator. The theory of H(b) spaces bridges two classical subjects: complex analysis and operator theory, which makes it both appealing and demanding. The first volume of this comprehens…