Inner product modules over $B\sp{\ast} $-algebras

Bessel and Grüss Type Inequalities in Inner Product Modules over Banach -Algebras

On the Finsler modules over H-algebras

In this paper, applying the concept of generalized A-valued norm on a right $H^*$-module and also the notion of ϕ-homomorphism of Finsler modules over $C^*$-algebras we first improve the definition of the Finsler module over $H^*$-algebra and then define ϕ-morphism of Finsler modules over $H^*$-algebras. Finally we present some results concerning these new ones.

Hilbert modules over pro-C*-algebras

In this paper, we generalize some results from Hilbert C*-modules to pro-C*-algebra case. We also give a new proof of the known result that l2(A) is aHilbert module over a pro-C*-algebra A.

Orthogonality preserving mappings on inner product C* -modules

Suppose that A is a C^*-algebra. We consider the class of A-linear mappins between two inner product A-modules such that for each two orthogonal vectors in the domain space their values are orthogonal in the target space. In this paper, we intend to determine A-linear mappings that preserve orthogonality. For this purpose, suppose that E and F are two inner product A-modules and A+ is the set o...

Point modules over Sklyanin algebras

Definition 1.1 [5] Fix a degree n line bundle ~ on E. Set V = H ~ (E, ~ ) . Identify V| with H~174 Define the shifted diagonal A~:={(x,x+ (n-2)r) lx~E}. Denote by M the set of fixed points for the involution (x, y) ~ (y + 2r, x 2r) on E • E. We say that a divisor D on E • E is allowable if D is stable under this involution, and M occurs in D with even multiplicity. The n-dimensional Sklyanin al...