# Aram

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bio website location South America age member for 1 year, 7 months seen 6 hours ago profile views 132

Mathematics student.

 4 Proving $\lim_{x\to c} g(x)$ exists given $\lim_{x\to c} f(x)$, $\lim_{x\to c} f(x)+g(x)$ do. 3 Pigeon hole set of integers 3 Determination of some operator norms 3 If $X = \{x_n:n \in \mathbb N\}$ is a cauchy sequence in a metric space $S$ and $f : S \rightarrow T$ is continuous , is $f(x_n)$ a cauchy sequence? 2 Nonobvious examples of metric spaces that do not work like $\mathbb{R}^n$

# 1,219 Reputation

 +2 projections on a Hilbert space +10 Projection map is open +10 Nonobvious examples of metric spaces that do not work like $\mathbb{R}^n$ +2 How to approach this problem?

# 11 Questions

 4 Riemann-Stieltjes Integral computation (step function?) 4 For any set $A\subseteq\mathbb{R}^n$, we have $\overline{A^{\circ}} = \overline{\overline{A^{\circ}}^{\,\circ}}$ 3 If $f(a)$ is divisible by either $101$ or $107$ for each $a\in\Bbb{Z}$, then $f(a)$ is divisible by at least one of them for all $a$ 2 On convergence a.e and convergence measure 2 Dimension problems

# 58 Tags

 29 real-analysis × 41 5 measure-theory × 8 11 functional-analysis × 9 5 limits × 4 9 analysis × 12 4 calculus × 4 9 metric-spaces × 12 4 continuity × 4 6 sequences-and-series × 9 4 proof-verification × 3

# 4 Accounts

 Mathematics 1,219 rep 519 TeX - LaTeX 138 rep 5 Stack Overflow 113 rep 2 MathOverflow 101 rep 1