let r be a commutative ring with identity. let n and k be two submodules of a multiplication r-module m. thenn=im and k=jm for some ideals i and j of r. the product of n and k denoted by nk is defined by nk=ijm. inthis paper we characterize some particular cases of multiplication modules by using the product of submodules.

This paper concerns dual frames multipliers, i.e. operators in Hilbert spaces consisting of analysis, multiplication and synthesis processes, where the analysis are made by two frames, respectively. The goal is to give some results about localization spectra identify regions complex plane containing using information symbols.

New theoretical lower bounds for the number of operators needed in fixed-point constant multiplication blocks are presented. The multipliers are constructed with the shift-and-add approach, where every arithmetic operation is pipelined, and with the generalization that n-input pipelined additions/subtractions are allowed, along with pure pipelining registers. These lower bounds, tighter than th...

We present a new approach for expressing and solving boundary problems for linear ordinary differential equations in the language of differential algebras. Starting from an algebra with a derivation and integration operator, we construct a ring of linear integro-differential operators that is expressive enough for specifying regular boundary problems with arbitrary Stieltjes boundary conditions...

Mφ : H → H for φ ∈ H∞(Ω). We mention some known results in this area that serve as a motivation for the present paper. First, if H is the classical Hardy space of the unit disk D, and if φ is an inner function on D, then Mφ is a pure isometry and a shift operator on H , and so its reducing subspaces are in a one-to-one correspondence with the closed subspaces of H (φH). Therefore, the reducing ...

For a wide class of weights we find the approximative point spectrum and the essential spectrum of the pointwise multiplication operator Mφ, Mφ(f)=φf , on the weighted Banach spaces of analytic functions on the disc with the sup-norm. Therefore we characterize when Mφ is Fredholm or is an isomorphism into. We study also cyclic phenomena of the adjoint map M ′ φ.

We consider the C*-algebra, generated by multidimensional integral operators with homogeneous degree $$(-n)$$ kernels and of multiplication radial weak oscillating functions form $$|x|^{i\alpha }$$ . For this algebra, an operator symbolic calculus is constructed. In terms calculus, necessary sufficient conditions for Fredholm property are obtained.

The aim of the present paper is to completely characterize boundedness and compactness a sum operator defined by some more complex products composition, multiplication, mth iterated radial derivative operators from Bloch-type spaces weighted-type on unit ball. In applications, all ball are also characterized.

The main purpose of this paper is to show that the multiplication of a Schubert polynomial of finite type A by a Schur function, which we refer to as Schubert vs. Schur problem, can be understood combinatorially from the multiplication in the space of dual k-Schur functions. Using earlier work by the second author, we encode both problems by means of quasisymmetric functions. On the Schubert vs...