Category Archives: Linear Algebra

Complexification of a Real Krein Space. Part I

Introduction There is a rather unusual journal called the Journal of Humanistic Mathematics. It aims to provide an open forum for academic and informal discussions of the “human face of mathematics,” focusing on aesthetic, cultural, historical, literary, pedagogical, philosophical, psychological, … Continue reading

Posted in Functional analysis, Krein spaces, Linear Algebra, Lorentz transforations, Quaternions, Special relativity | Tagged , , , , | 7 Comments

Fundamental Symmetries in Minkowski Krein Space

It is always good to have at least one example. I am reading the Preface to A Course in Functional Analysis by John B. Conway (Springer, 1985), where the author notes: Historically, mathematics has gone from the particular to the general—not the … Continue reading

Posted in Krein spaces, Linear Algebra, Lorentz transforations, Uncategorized | Tagged , , , , , | 15 Comments

Krein spaces – first steps

It was the summer of 1964 (15 June–15 July). The small village of Katsiveli, in the Yalta region of Crimea, hosted the Second Summer School of Mathematics organized by the Ukrainian Academy of Sciences. Second Summer School of Mathematics, Katsiveli, … Continue reading

Posted in Linear Algebra | Tagged , | 8 Comments