Recent content by patricia-donn
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Proving Open/Closed Sets: Functional Analysis in C [0,1]
Thank you for your advice, I'll try that and see how I get on Thanks again- patricia-donn
- Post #3
- Forum: Calculus and Beyond Homework Help
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Graduate Prove Open & Closed Sets in C[0,1] | Functional Analysis
Thank you so so much for your prompt reply. You've really helped me out and I really appreciate your time. Thanks again- patricia-donn
- Post #5
- Forum: Calculus
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Graduate Functional Analysis: Proving Closure of Finite Sets in Metric Spaces
Hello I need help with an analysis proof and I was hoping someone might help me with it. The question is: Let (X,d) be a metric space and say A is a subset of X. If x is an accumulation point of A, prove that every r-neighbourhood of x actually contains an infinite number of distinct...- patricia-donn
- Thread
- Analysis Functional Functional analysis
- Replies: 1
- Forum: Calculus
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Graduate Prove Open & Closed Sets in C[0,1] | Functional Analysis
Hello Would anyone out there be able to help me with a problem I'm having? I have to prove that a function is open and that another is closed. The question is: Consider C [0,1] with the sup metric. Let f:[0,1]→R be the function given by f(x)=x²+2 Let A={g Є C[0,1]: d(g,f) > 3}. Prove...- patricia-donn
- Thread
- Analysis Functional Functional analysis
- Replies: 5
- Forum: Calculus
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Proving Open/Closed Sets: Functional Analysis in C [0,1]
Hello Would anyone out there be able to help me with a problem I'm having? I have to prove that a function is open and that another is closed. The question is: Consider C [0,1] with the sup metric. Let f:[0,1]→R be the function given by f(x)=x²+2 Let A={g Є C[0,1]: d(g,f) > 3}. Prove...- patricia-donn
- Thread
- Analysis Functional Functional analysis
- Replies: 2
- Forum: Calculus and Beyond Homework Help