JOURNAL BROWSE
Search
Advanced SearchSearch Tips
IDEALS IN A TRIDIAGONAL ALGEBRA ALGL
facebook(new window)  Pirnt(new window) E-mail(new window) Excel Download
 Title & Authors
IDEALS IN A TRIDIAGONAL ALGEBRA ALGL
LEE, SANG KI; KANG, JOO HO;
 
 Abstract
We find examples of Ideals in a tridiagonal algebra ALGL and study some properties of Ideals in ALGL. We prove the following theorems: Let k and j be fixed natural numbers. Let A be a subalgebra of ALGL and let A2,{k} ⊂ A ⊂ {T ∈ ALGL | T(2k-1,2k)
 Keywords
Linear manifold;Ideal;Tridiagonal algebras;
 Language
English
 Cited by
 References
1.
C.K. Fong, C.R. Miers and A.R. Sourour, Lie and Jordan ideals of operators on Hilbert spaces, Proc. Amer. Math. Soc. 84 (1982), 516-520. crossref(new window)

2.
A, Hopenwasser and V. Paulsen, Lie ideal in operator algebras, J. Operator Theory 52 (2004), 325-340.

3.
T.D. Hudson, L.W. Marcoux and A.R. Sourour, Lie ideal in Triangular operator algebras, Trans. Amer. Math. Soc. 350 (1998), 3321-3339. crossref(new window)

4.
Y.S. Jo, Isometris of Tridiagonal algebras, Pacific J. Math. 140 (1989), 97-115. crossref(new window)

5.
Y.S. Jo and T.Y. Choi, Isomorphisms of AlgLn and ALGL, Michigan Math. J. 37 (1990), 305-314. crossref(new window)

6.
J.H. Kang, Lie ideals in Tridiagonal Algebra AlgL, Bull. of Korean Math. Soc. 52 (2015), 351-361. crossref(new window)