-
Article
Normality preserving multiplication operators
We show that a multiplication operator Φ(T)=ATB is normality preserving if and only if it is hyponormality preserving, if and only if it is either of the formA=f⊗g,B=h ⊗f, orA=D,B=λD* for someλ∈C andD* D=I. Also ...
-
Article
An mra yields an orthonormal wavelet basis—an operator theoretic proof
In this paper we show how to construct a scaling function and an orthonormal wavelet basis from a multiresolution approximation using an operator theoretic method.
-
Article
Perturbations of the radical of nest algebras
Let RN and KN be the radical ideal and the compact operator ideal of nest algebra ℐ(N) respectively. It is proved that
-
Article
On topological reflexivity of the spaces of derivations on operator algebras
It is proved that the spaces of derivations on some operator algebras are topologically reflexive in the weak operator topology.
-
Article
Weakly algebraic reflexivity and strongly algebraic reflexivity
Algebraic reflexivity introduced by Hadwin is related to linear interpolation. In this paper, the concepts of weakly algebraic reflexivity and strongly algebraic reflexivity which are also related to linear in...
-
Article
On finite rank operators in CSL algebras III
In terms of the exactly nonzero partition, the reducible projection-system and correlation matrices, two characterizations for a rank three operator in a CSL algebra can be completely decomposed are given.
-
Article
Antosik-Mikusinski Matrix Convergence Theorem in Quantum Logics
In this paper we establish the order topology type Antosik-Mikusinski infinite matrix convergence theorem in quantum logics. As application, we prove the Hahn-Schur summation theorem in quantum logics, too.
-
Article
Pseudo-Effect Algebras and Pseudo-Difference Posets
In this paper, we introduce two different operations in pseudo-effect algebras and also introduce the pseudo-difference posets. We prove that the pseudo-effect algebras and the pseudo-difference posets are the...
-
Article
Ideals and Filters in Pseudo-Effect Algebras
In this paper, we show that the filters and local filters are equivalent in pseudo-effect algebras. Ideals and local ideals and generalized ideals are equivalent in the pseudo-effect algebras, too.
-
Article
Ideal Topology on Effect Algebras
The ideals of effect algebras induce a topology on effect algebras. The operations ⊕ and ⊖ of effect algebras are continuous with respect to this topology.
-
Article
A class of congruences in partial Abelian semigroups
In this paper, by basing on the special morphism of Habil, we introduce and study a class of congruences in partial Abelian semigroups and obtain some interesting properties.
-
Article
Analysis of soil biogeochemical characteristics in the process of karst rocky desertification
-
Article
Large herbivore-induced changes in phytogenic hillocks: links to soil and windblown sediment on the desert steppe in China
Phytogenic hillocks are a type of wind-deposited biological micro-topography exhibiting a bulging shape under plant clusters in arid regions. In this study, we quantitatively measured the phenotypic characteri...
-
Article
Ultrathin, flexible, and oxidation-resistant MXene/graphene porous films for efficient electromagnetic interference shielding
Designing and fabricating efficient electromagnetic interference (EMI) shielding materials becomes a significant and urgent concern. Hence, a novel ultrathin, flexible, and oxidation-resistant MXene-based grap...
-
Article
Tislelizumab Plus Chemotherapy Versus Placebo Plus Chemotherapy as First-Line Treatment for Chinese Patients with Advanced Esophageal Squamous Cell Carcinoma: A Cost-Effectiveness Analysis
Advanced esophageal squamous cell carcinoma (ESCC) is a prevalent and highly malignant tumor with a poor prognosis. Recently, the RATIONALE-306 trial demonstrated that tislelizumab combined with chemotherapy p...
