• Tidak ada hasil yang ditemukan

abs_vol17_pp597-615. 22KB Jun 04 2011 12:05:46 AM

N/A
N/A
Info
Unduh - Bebas
Protected

Academic year: 2017

Membagikan "abs_vol17_pp597-615. 22KB Jun 04 2011 12:05:46 AM"

Copied!
1
0
0

Memuat.... (Lihat teks lengkap sekarang)

Unduh sekarang ( 1 Halaman )

Teks penuh

(1)

ELA

ADDITIVITY OF MAPS ON TRIANGULAR ALGEBRAS

∗

XUEHAN CHENG† AND WU JING‡

Abstract. In this paper, it is proven that every multiplicative bijective map, Jordan bijective map, Jordan triple bijective map, and elementary surjective map on triangular algebras is automat-ically additive.

Key words. Multiplicative maps, Jordan maps, Jordan triple maps, Elementary maps, Trian-gular algebras, Standard operator algebras, Additivity.

AMS subject classifications.16W99, 47B49, 47L10.

∗Received by the editors November 26, 2007. Accepted for publication October 24, 2008.

Han-dling Editor: Robert Guralnick.

†College of Mathematics & Information, Ludong University, Yantai, 264025, P. R. China.

Sup-ported by NNSF of China (No. 10671086) and NSF of Ludong University (No. LY20062704).

‡Department of Mathematics & Computer Science, Fayetteville State University, Fayetteville, NC

28301, USA ([email protected]).

Electronic Journal of Linear Algebra ISSN 1081-3810 A publication of the International Linear Algebra Society Volume 17, pp. 597-615, November 2008

Referensi

Unduh sekarang ( PDF - 1 Halaman - 22.26 KB )

Dokumen terkait

sigma10-099. 806KB Jun 04 2011 12:10:46 AM

This is done by associating a complex num- ber (a “triangular cell”) with every elementary triangle of the given graph in such a way that their collection (a “self-connection”)

abs_vol17_pp168-191. 22KB Jun 04 2011 12:05:45 AM

Many results are stated and proved in a more general framework of symmetric and skewsymmetric matrices with respect to an invertible matrix which is skewsymmetric relative to

abs_vol17_pp287-303. 28KB Jun 04 2011 12:05:46 AM

The inverse elementary divisor problem for nonnegative matrices asks for neces- sary and sufficient conditions for the existence of a nonnegative matrix with prescribed

abs_vol18_pp302-316. 22KB Jun 04 2011 12:05:47 AM

The first group is about spectral properties of a matrix under such perturbations; the second is about almost-near relations with respect to the rank distance..

abs_vol19_pp129-140. 22KB Jun 04 2011 12:05:47 AM

result and known Perron-Frobenius theory of eventually nonnegative matrices are used to establish an algorithm to determine whether a matrix is strongly eventually nonnegative (i.e.,

abs_vol20_pp753-759. 21KB Jun 04 2011 12:05:49 AM

In this paper, left derivations and Jordan left derivations in full and upper triangular matrix rings over unital associative rings are characterized..

abs_vol22_pp125-137. 22KB Jun 04 2011 12:05:49 AM

In earlier work, the labelled graphs G for which every combinatorially symmetric totally nonnegative matrix, the graph of whose specified entries is G , has a totally

vol10_pp291-319. 301KB Jun 04 2011 12:05:50 AM

Here, we de- scribe multiplicative maps that preserve a certain function, property, or set of matri- ces: norms, spectrum, spectral radius, elementary symmetric functions