𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On Stable Orthogonal Decompositions of Idempotents

✍ Scribed by Yun Fan; Burkhard Külshammer


Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
177 KB
Volume
217
Category
Article
ISSN
0021-8693

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


Group partition and systems of orthogona
✍ Yingshan Zhang; Shanqi Pang; Zhengming Jiao; Wenzheng Zhao 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 599 KB

Orthogonal systems of idempotents are applicable to Physics, Chemistry and other areas of Mathematics. Given a finite group G, and a set partition {[HI], [Hz], [Ok]} of G, we present a method that is sometimes successful in constructing a system of orthogonal idempotents that are constant on { [01],

Products of orthogonal projections and p
✍ G. Corach; A. Maestripieri 📂 Article 📅 2011 🏛 Elsevier Science 🌐 English ⚖ 299 KB

We characterize the sets X of all products PQ , and Y of all products PQP, where P, Q run over all orthogonal projections and we solve the problems arg min{ P -Q : We also determine the polar decompositions and Moore-Penrose pseudoinverses of elements of X.

Further results on incomplete (3,2,1)- c
✍ F.E. Bennett; Lisheng Wu; L. Zhu 📂 Article 📅 1990 🏛 Elsevier Science 🌐 English ⚖ 878 KB

Let us denote by COILS(v) a (3,2, l)-conjugate orthogonal idempotent Latin square of order v, and by ICOILS(v, n) an incomplete COILS(v) missing a sub-COILS(n). A necessary condition for the existence of an ICOILS(v, and the necessary condition for its existence has recently been shown by the auth