On pointwise convergence, compactness, and equicontinuity. II
نویسندگان
چکیده
منابع مشابه
Pointwise Boundedness and Equicontinuity in Β-duals
Let E be a vector valued sequence space with operator valued βdual E . If E satisfies certain gliding hump assumptions, we show that pointwise bounded subsets of E are sequentially equicontinuous. The result is established by considering uniform convergence of the elements in E .
متن کاملPOINTWISE CONVERGENCE TOPOLOGY AND FUNCTION SPACES IN FUZZY ANALYSIS
We study the space of all continuous fuzzy-valued functions from a space $X$ into the space of fuzzy numbers $(mathbb{E}sp{1},dsb{infty})$ endowed with the pointwise convergence topology. Our results generalize the classical ones for continuous real-valued functions. The field of applications of this approach seems to be large, since the classical case allows many known devices to be fi...
متن کاملConvergence, Closed Projections and Compactness
In this paper several results of N. Noble concerning closed projections are extended using generalizations of first countable, Frechet, and sequential spaces. We also consider compactness conditions defined by requiring that certain nets have cluster points.
متن کاملPointwise Convergence of Trigonometric Series
We establish two results in the pointwise convergence problem of a trigonometric series [An] £ cne inl with lim Hm £ I bTck | = 0 |n|< -x. * Jn-»oo \k\-n for some nonnegative integer m. These results not only generalize Hardy's theorem, the Jordan test theorem and Fatou's theorem, but also complement the results on pointwise convergence of those Fourier series associated with known 1}-convergen...
متن کاملPointwise convergence rate for nonlinear
We introduce a new method to obtain pointwise error estimates for vanishing viscosity and nite diierence approximations of scalar conservation laws with piecewise smooth solutions. This method can deal with nitely many shocks with possible collisions. The key ingredient in our approach is an interpolation inequality between the L 1 and Lip +-bounds, which enables us to convert a global result i...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Advances in Mathematics
سال: 1974
ISSN: 0001-8708
DOI: 10.1016/s0001-8708(74)80002-2