Sequence Spaces

These are lecture notes for a course entitled "Sequence Spaces" which the author gave at the University of Frankfurt during the academic year 1975-76. This Research Note Presents A Collection Of Topics On Sequence Spaces And Infinite Matrices. It Contains Discussions Of Köthe Sequence Spaces, Topologies On Sequence Spaces, Matrix Mappings Between Sequence Spaces And Topics From Summability Theory. The Development Is Original And Includes New Proofs Of Pitt's Theorem And The Bounded Consistency Theorem, And Previously Unpublished Results On Matrix Mappings Between Köthe Spaces Having Their Normal Topologies. The Work Will Be Of Particular Interest To Researchers And Graduate Students In Functional Analysis And Summability Theory, And Workers In Discrete System Theory. -- Back Cover. Introduction, Basic Properties -- Köthe Sequence Spaces -- Topologies On Sequence Spaces -- Mappings Between Sequence Spaces -- Topics From Summability Theory. William H. Ruckle. Pitman Advanced Publishing Program. Includes Bibliographical References.