Search the whole station

# 数学final代考 Math 328 & Math 601代写 Math代写

671

## Math 328 & Math 601

### Directions:数学final代考

Open this booklet only when directed to do so.

Check that you have all 7 pages including this one.

You may use the backs of sheets for rough work, or if you need additional space for your answer.

Each question is worth 16 points. (Total: 100 points)

No cheating sheets may be used.

This examination is two days (48 hours) in duration.

### 4. 数学final代考

Determine whether the following statements true or false. Give reasons.

(a) Every bounded sequence in Rn has a convergent subsequence.

(b) The dual space of (Rn, ∥· 1) is (Rn, ∥· 1).

(c) In a Hilbert space, every bounded sequence has a convergent subsequence.

### 5.

Suppose that the sequence (xn)n∈N in H satisfies

(a) There exists M > 0 such that for every n N, ∥ xn ≤ M.

(b) For every y M, limn xn, y〉exists.

(c) M is total in H.

Prove that for every y ∈ H, limn xn, y exists.

The prev:

### Related recommendations

• #### 数学积分代写 Integral Calculus代写 MATH代写 Exam代写

816

Integral Calculus - MATH 9B Final Exam 数学积分代写 Instructions: (1) You have 160 minutes to solve this exam. (2) Uploading to Gradescope will be at the end. You will have 15 minutes to...

View details
• #### 计算数论作业代写 Mth 440/540代写 数学作业代写 数学代写

314

Mth 440/540 Homework 计算数论作业代写 (1) Part I a.) Use Mathematica to determine the 100th prime, the 1000th prime, and the 10,000th prime. b.) Use Mathematica to determine the prime (1) ...

View details
• #### 模块和表示论代写 MATH 5735代写 数学作业代写 数学代写

657

MATH 5735 - Modules and Representation Theory Assignment 1 模块和表示论代写 1. (9 marks) Recall that an integral domain is a commutative ring (with unity) that has no zero divisors. (a) Pro...

View details
• #### 数学代考的价格是多少？想找人帮忙代修和代考数学网课

880

数学代考的价格是多少？想找人帮忙代修和代考数学网课 国外数学网课代修 由于新冠肺炎疫情的影响，很多学校为了避免学生大规模的聚集，于是将课堂授课的模式改为了线上网课，由老师们录制教学视频，学生们在...

View details
1