The two-sided representations of an operator algebra
نویسندگان
چکیده
منابع مشابه
An Algebra Containing the Two-Sided Convolution Operators
We present an intrinsically defined algebra of operators containing the right and left invariant Calderón-Zygmund operators on a stratified group. The operators in our algebra are pseudolocal and bounded on Lp (1 < p <∞). This algebra provides an example of an algebra of singular integrals that falls outside of the classical Calderón-Zygmund theory.
متن کاملThe Measure Algebra as an Operator Algebra
Introduction. In § I, it is shown that M(G)*, the space of bounded linear functionals on M(G), can be represented as a semigroup of bounded operators on M(G). Let A denote the non-zero multiplicative linear functionals on M(G) and let P be the norm closed linear span of A in M(G)*. In § II, it is shown that P , with the Arens multiplication, is a commutative J3*-algebra with identity. Thus P = ...
متن کاملTwo-sided Bgg Resolutions of Admissible Representations
We prove the conjecture of Frenkel, Kac and Wakimoto on the existence of two-sided BGG resolutions of G-integrable admissible representations of affine Kac-Moody algebras at fractional levels. As an application we establish the semi-infinite analogue of the generalized Borel-Weil theorem for minimal parabolic subalgebras which enables an inductive study of admissible representations.
متن کاملRelationship between one-sided and two-sided Green’s function representations
The Green’s function, defined as the response recorded at the acquisition surface for a source located in the interior of the subsurface, is a combination of the downgoing and upgoing wave fields needed to reconstruct an image of the discontinuities inside the earth. Two-sided Green’s function representations require measurement on the full boundary enclosing the domain of interest and allow us...
متن کاملThe Ideal Envelope of an Operator Algebra
A left ideal of any C∗-algebra is an example of an operator algebra with a right contractive approximate identity (r.c.a.i.). Conversely, we show here and in [6] that operator algebras with r.c.a.i. should be studied in terms of a certain left ideal of a C∗-algebra. We study operator algebras and their multiplier algebras from the perspective of ‘Hamana theory’ and using the multiplier algebras...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Proceedings of the Japan Academy, Series A, Mathematical Sciences
سال: 1951
ISSN: 0386-2194
DOI: 10.3792/pja/1195571449