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In this note, we establish several results concerning the gliding hump properties of matrix domains. In order to discuss $\boldsymbol{F}$-WGHP, we introduce the $\boldsymbol{U}$ $\boldsymbol{AK}$-property and find that this sort of property has close relationship with $\boldsymbol{F}$-WGHP. In the course of discussing $\boldsymbol{F}$-WGHP and WGHP of $(c_0)_{C_n}$ , we discuss the $\boldsymbol{F}$-WGHP and WGHP of the almost-null sequence space $f_0$.
}, issn = {2707-8523}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/cmr/19283.html} }In this note, we establish several results concerning the gliding hump properties of matrix domains. In order to discuss $\boldsymbol{F}$-WGHP, we introduce the $\boldsymbol{U}$ $\boldsymbol{AK}$-property and find that this sort of property has close relationship with $\boldsymbol{F}$-WGHP. In the course of discussing $\boldsymbol{F}$-WGHP and WGHP of $(c_0)_{C_n}$ , we discuss the $\boldsymbol{F}$-WGHP and WGHP of the almost-null sequence space $f_0$.