• 検索結果がありません。

OPERATORNORMSOFWORDSFORMEDFROMPOSITIVE-DEFINITEMATRICES ELA

N/A
N/A
Info
ダウンロード
Protected

Academic year: 2022

シェア "OPERATORNORMSOFWORDSFORMEDFROMPOSITIVE-DEFINITEMATRICES ELA"

Copied!
1
0
0

読み込み中.... (全文を見る)

今ダウンロードする ( 1 ページ )

全文

(1)

ELA

OPERATOR NORMS OF WORDS FORMED FROM POSITIVE-DEFINITE MATRICES

∗

S.W. DRURY†

Abstract. Letα1, α2, . . . , αn, β1, β2, . . . , βnbe strictly positive reals withα1+α2+· · ·+αn=

β1+β2+· · ·+βn=s. In this paper, the inequality

|||Aα1Bβ1Aα2· · ·AαnBβn||| ≤ |||AB|||s

whenAandBare positive-definite matrices is studied. Related questions are also studied.

Key words. Positive-definite matrix, Matrix power, Operator norm, Matrix words.

AMS subject classifications.15A45.

∗Received by the editors July 31, 2008. Accepted for publication December 29, 2008. Handling Editor: Harm Bart.

†Department of Mathematics and Statistics, McGill University, 805 Sherbrooke Street West, Montreal, Canada H3A 2K6.

Electronic Journal of Linear Algebra ISSN 1081-3810 A publication of the International Linear Algebra Society Volume 18, pp. 13-20, January 2009

http://math.technion.ac.il/iic/ela

参照

今ダウンロードする ( PDF - 1 ページ - 29.34 KB )

関連したドキュメント

The Chemical Society of Japan

[r]

The Chemical Society of Japan

[r]

The Electronic Journal of Linear Algebra.

A publication of the International Linear Algebra Society.. Volume

The rational Cherednik algebra of type

In Section 2, we prove Theorem 2.2 and Theorem 2.4 which show the freeness of the maximal divided power extension of the rational Cherednik algebra of

September,2011 O.Azenhas,A.Conflitti,R.Mamede RibbonSchurfunctionswithfullsupportandSchurpositivity

Azenhas, The admissible interval for the invariant factors of a product of matrices, Linear and Multilinear Algebra 46 (1999), 51-99.

Topology, Geometry and Algebra of low-dimensional manifolds

9:30–10:30 Julien March´ e (1) (Pierre et Marie Curie University) Non abelian Reidemeister torsion and skein modules (1) 11:00–12:00 Short Communications (2). Tatsuro Shimizu

PAIRSOFMATRICES,ONEOFWHICHCOMMUTESWITHTHEIRCOMMUTATOR ELA

† GAATI, Universit´ e de la Polyn´ esie fran¸caise, BP 6570, 98702 FAA’A, Tahiti, Polyn´ esie Fran¸caise ([email protected]). Electronic Journal of Linear Algebra ISSN

3. The homotopy Lie algebra

This is used to study the ”Minimal Resolution Conjecture” and the ”Ideal Generating Conjecture” for sets of generic points in projective space, and for quotients of the