Let [italic]H be a Hilbert space. Formally normal, normal, symmetric, selfadjoint, and semibounded subspaces of [italic]H²=[italic]H²[circled plus][italic]H are defined by means of the corresponding properties of the graphs of operators in H which are formally normal, normal, sy…
A Hilbert space problem book
by Halmos, Paul R., (Paul Richard)
fromGraduate Texts in 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…
This work contains a complete description of the set of all unitarizable highest weight modules of classical Lie superalgebras. Unitarity is defined in the superalgebraic sense, and all the algebras are over the complex numbers. Part of the classification determines which real f…