In this paper, we investigate local properties in the system of completely 1-summing mapping spaces. We introduce notions of injectivity, local reflexivity, exactness, nuclearity and finite-representability in the sys...In this paper, we investigate local properties in the system of completely 1-summing mapping spaces. We introduce notions of injectivity, local reflexivity, exactness, nuclearity and finite-representability in the system of completely 1-summing mapping spaces. First we obtain that if V has WEP, V is locally reflexive in the system (Ⅱ<sub>1</sub>(⋅,⋅), π<sub>1</sub>(⋅)) if and only if it is locally reflexive in the system (Ⅰ(⋅,⋅), t(⋅)). Furthermore we prove that an operator space V ⊆ B(H) is exact in the system (Ⅱ<sub>1</sub>(⋅,⋅), π<sub>1</sub>(⋅)) if and only if V is finitely representable in {M<sub>n</sub>}<sub>n∈N</sub> in the system (Ⅱ<sub>1</sub>(⋅,⋅), π<sub>1</sub>(⋅)). At last, we show that an operator space V is finitely representable in {M<sub>n</sub>}<sub>n∈N</sub> in the system (Ⅱ<sub>1</sub>(⋅,⋅), π<sub>1</sub>(⋅)) if and only if V = C.展开更多
Multiple sclerosis is an autoimmune disease in which the immune system attacks the myelin sheath in the central nervous system.It is characterized by blood-brain barrier dysfunction throughout the course of multiple s...Multiple sclerosis is an autoimmune disease in which the immune system attacks the myelin sheath in the central nervous system.It is characterized by blood-brain barrier dysfunction throughout the course of multiple sclerosis, followed by the entry of immune cells and activation of local microglia and astrocytes.Glial cells(microglia, astrocytes, and oligodendrocyte lineage cells) are known as the important mediators of neuroinflammation, all of which play major roles in the pathogenesis of multiple sclerosis.Network communications between glial cells affect the activities of oligodendrocyte lineage cells and influence the demyelination-remyelination process.A finely balanced glial response may create a favorable lesion environment for efficient remyelination and neuroregeneration.This review focuses on glial response and neurodegeneration based on the findings from multiple sclerosis and major rodent demyelination models.In particular, glial interaction and molecular crosstalk are discussed to provide insights into the potential cell-and molecule-specific therapeutic targets to improve remyelination and neuroregeneration.展开更多
In this paper, we first study some -completely bounded maps between various numerical radius operator spaces. We also study the dual space of a numerical radius operator space and show that it has a dual realization. ...In this paper, we first study some -completely bounded maps between various numerical radius operator spaces. We also study the dual space of a numerical radius operator space and show that it has a dual realization. At last, we define two special numerical radius operator spaces and which can be seen as a quantization of norm space E.展开更多
文摘In this paper, we investigate local properties in the system of completely 1-summing mapping spaces. We introduce notions of injectivity, local reflexivity, exactness, nuclearity and finite-representability in the system of completely 1-summing mapping spaces. First we obtain that if V has WEP, V is locally reflexive in the system (Ⅱ<sub>1</sub>(⋅,⋅), π<sub>1</sub>(⋅)) if and only if it is locally reflexive in the system (Ⅰ(⋅,⋅), t(⋅)). Furthermore we prove that an operator space V ⊆ B(H) is exact in the system (Ⅱ<sub>1</sub>(⋅,⋅), π<sub>1</sub>(⋅)) if and only if V is finitely representable in {M<sub>n</sub>}<sub>n∈N</sub> in the system (Ⅱ<sub>1</sub>(⋅,⋅), π<sub>1</sub>(⋅)). At last, we show that an operator space V is finitely representable in {M<sub>n</sub>}<sub>n∈N</sub> in the system (Ⅱ<sub>1</sub>(⋅,⋅), π<sub>1</sub>(⋅)) if and only if V = C.
基金partially supported by grants from the National Institute of Neurological Disorders and Stroke of the National Institutes of Health(R21 NS098170, to JC and CBS)Kentucky Spinal Cord and Head Injury Research Trust(16-3 A, to JC and CBS)the National Natural Science Foundation of China(81601957, to YW)。
文摘Multiple sclerosis is an autoimmune disease in which the immune system attacks the myelin sheath in the central nervous system.It is characterized by blood-brain barrier dysfunction throughout the course of multiple sclerosis, followed by the entry of immune cells and activation of local microglia and astrocytes.Glial cells(microglia, astrocytes, and oligodendrocyte lineage cells) are known as the important mediators of neuroinflammation, all of which play major roles in the pathogenesis of multiple sclerosis.Network communications between glial cells affect the activities of oligodendrocyte lineage cells and influence the demyelination-remyelination process.A finely balanced glial response may create a favorable lesion environment for efficient remyelination and neuroregeneration.This review focuses on glial response and neurodegeneration based on the findings from multiple sclerosis and major rodent demyelination models.In particular, glial interaction and molecular crosstalk are discussed to provide insights into the potential cell-and molecule-specific therapeutic targets to improve remyelination and neuroregeneration.
文摘In this paper, we first study some -completely bounded maps between various numerical radius operator spaces. We also study the dual space of a numerical radius operator space and show that it has a dual realization. At last, we define two special numerical radius operator spaces and which can be seen as a quantization of norm space E.
