Let A and B be two factor von Neumann algebras. In this paper, we proved that a bijective mapping Φ:A→B satisfies Φ(a∘b+ba∗)=Φ(a)∘Φ(b)+Φ(b)Φ(a)∗ (where ∘ is the special Jordan product on B, respectively), for all elements a,b∈A, if only Φ ∗-ring isomorphism. particular, algebras are type I factors, then unitary isomorphism or conjugate

We note that Theorem 2.3 [1] is a consequence of the same theorem for one map.

In this paper, we introduce cyclic weak φ−contractions in fuzzy metric spaces and utilize the same to prove some results on existence and uniqueness of fixed point in fuzzy metric spaces. Some related results are also proved besides furnishing illustrative examples.

Abstract Let $\mathcal {A} \subset{\mathcal {B}}(\mathcal {H})$ A ⊂ B ( H ) be a row contraction and $\Phi _{\mathcal {A}}$ Φ determined by {A}$ completely positive map on ${\mathcal . ...

Multivariate quasi-projection operators Qj(f,φ,φ˜), associated with a function φ and distribution/function φ˜, are considered. The is supposed to satisfy the Strang-Fix conditions compatibility condition φ˜. Using technique based on Fourier multipliers, we study approximation properties of such for functions f from anisotropic Besov spaces Lp 1≤p≤∞. In particular, upper lower estimates Lp-error...

The aim of the present paper is to establish a common fixed point theorem for sequence of self mappings under (φ, ψ)-weak contractions in fuzzy metric space employing the control function which generalizes and improves various well-known comparable results.