✦ LIBER ✦

From Local to Global Triangularization

✍ Scribed by Heydar Radjavi; Peter Rosenthal

Publisher: Elsevier Science
Year: 1997
Tongue: English
Weight: 335 KB
Volume: 147
Category: Article
ISSN: 0022-1236
DOI: 10.1006/jfan.1996.3069

No coin nor oath required. For personal study only.

✦ Synopsis

It is shown that a semigroup of Shatten p-class operators is simultaneously triangularizable if each pair of operators in the semigroup is triangularizable. Several sufficient conditions for triangularizability of semigroups are obtained as corollaries. A ``block triangularization'' theorem for algebras of compact operators is established, consequences of which include a number of necessary and sufficient conditions for triangularization of such algebras.

1997 Academic Press

Note that a collection of linear transformations on a finite-dimensional space is triangularizable if and only if there is a basis for the space with respect to which all of the transformations have matrices which are upper triangular.

article no. FU963069

📜 SIMILAR VOLUMES

From Local Cosine Bases to Global Harmon

From Local Cosine Bases to Global Harmonics

✍ Kai Bittner; Charles K. Chui 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 104 KB

In this paper, the reproduction of trigonometric polynomials with two-overlapping local cosine bases is investigated. This study is motivated by the need to represent most effectively a Fourier series in the form of a localized cosine series for the purpose of local analysis, thus providing a vehicl

Global Sustainability (The Impact of Loc

Global Sustainability (The Impact of Local Cultures) || History and Mandate of Sustainability: From Local Forestry to Global Policy

✍ Wilderer, Peter A.; Schroeder, Edward D.; Kopp, Horst 📂 Article 📅 2005 🏛 Wiley-VCH Verlag GmbH & Co. KGaA ⚖ 146 KB 👁 3 views

Building bridges: Science to management—

Building bridges: Science to management—local to global

✍ Christopher W. Hickey 📂 Article 📅 2004 🏛 John Wiley and Sons 🌐 English ⚖ 17 KB

A Matrix-Based Approach to Global Locali

A Matrix-Based Approach to Global Locality Optimization

✍ Mahmut Kandemir; Alok Choudhary; J. Ramanujam; Prith Banerjee 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 824 KB

Global locality optimization is a technique for improving the cache performance of a sequence of loop nests through a combination of loop and data layout transformations. Pure loop transformations are restricted by data dependencies and may not be very successful in optimizing imperfectly nested loo

Marketing micro-finance to women: integr

Marketing micro-finance to women: integrating global with local

✍ Robert Rugimbana; Anita Spring 📂 Article 📅 2009 🏛 John Wiley and Sons 🌐 English ⚖ 79 KB

NON-LINEAR GENERALIZATION OF PRINCIPAL C

NON-LINEAR GENERALIZATION OF PRINCIPAL COMPONENT ANALYSIS: FROM A GLOBAL TO A LOCAL APPROACH

✍ G. KERSCHEN; J.-C. GOLINVAL 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 288 KB

Principal component analysis (PCA), also known as proper orthogonal decomposition or Karhunen}Loe`ve transform, is commonly used to reduce the dimensionality of a data set with a large number of interdependent variables. PCA is the optimal linear transformation with respect to minimizing the mean sq