Access the full text.
Sign up today, get DeepDyve free for 14 days.
B. Pagter (1981)
f-Algebras and orthomorphisms
A.C. Zaanen (1983)
Riesz Spaces II
P. Colville, G. Davis, K. Keimel (1977)
Positive derivations onf-ringsJ. Aust. Math. Soc., 23
J. Quinn (1975)
Intermediate Riesz spacesPac. J. Math., 56
K. Boulabiar (2000)
Products in almost f-algebras, commentMath. Univ. Carol., 41
K. Boulabiar, E. Chil (2001)
On the structure of almost f-algebrasDemonstr. Math., 34
K. Boulabiar (2002)
Positive derivations on almost f-ringsOrder, 19
B. Pagter (1984)
A note on disjointness preserving operatorsProc. Am. Math. Soc., 90
G. Buskes, A. Rooij (2000)
Almost f-algebras: commutativity and Cauchy-Schwarz inequalityPositivity, 4
A. Triki (2002)
On algebra homomorphisms in complex almost f-algebrasComment. Math. Univ. Carol., 43
G. Buskes, A.G. Kusraev (2007)
Representation and extension of orthoregular bilinear operatorsVladikavkaz Math. J. V., 9,1
S.J. Bernau, C.B. Huijsmans (1990)
Almost f-algebras and d-algebrasMath. Proc. Camb. Philos. Soc., 107
J.W. Davenport (1976)
Multipliers on a Banach algebra with a bounded approximate identityPac. J. Math., 63
K. Boulabiar (2000)
A relationship between two almost f-algebra productsAlgebra Univers., 43
C.D. Aliprantis, O. Burkinshaw (1985)
Positive Operator
K. Boulabiar, F. Haddad (2003)
A class of archimedean lattice ordered algebrasAlgebra Univers., 50
We use a theorem by Buskes–Kusraev on the automatic symmetry of an order bounded orthosymmetric bilinear map to give a complete description of order bounded derivations on a pseudo f-algebra. This generalizes a well known theorem by Colville, Davis, and Keimel. Then, we investigate the commutator [, ]Φ of an orthosymmetric bilinear map using an order theoretical approach. This leads to a generalization of the Buskes–Kusraev result to a larger class of orthosymmetric bilinear maps.
Positivity – Springer Journals
Published: Apr 2, 2009
Read and print from thousands of top scholarly journals.
Already have an account? Log in
Bookmark this article. You can see your Bookmarks on your DeepDyve Library.
To save an article, log in first, or sign up for a DeepDyve account if you don’t already have one.
Copy and paste the desired citation format or use the link below to download a file formatted for EndNote
Access the full text.
Sign up today, get DeepDyve free for 14 days.
All DeepDyve websites use cookies to improve your online experience. They were placed on your computer when you launched this website. You can change your cookie settings through your browser.