# University of California, Berkeley (Cal)

## MATH 202B

### Introduction to Topology and Analysis

Average grades given in the course:

Measure And Integration. Product Measures And Fubini-type Theorems. Signed Measures; Hahn And Jordan Decompositions. Radon-nikodym Theorem. Integration On The Line And In Rn. Differentiation Of The Integral. Hausdorff Measures. Fourier Transform. Introduction To Linear Topological Spaces, Banach Spaces And Hilbert Spaces. Banach-steinhaus Theorem; Closed Graph Theorem. Hahn-banach Theorem. Duality; The Dual Of Lp. Measures On Locally Compact Spaces; The Dual Of C(x). Weak And Weak-* Topologies; Banach-alaoglu Theorem. Convexity And The Krein-milman Theorem. Additional Topics Chosen May Include Compact Operators, Spectral Theory Of Compact Operators, And Applications To Integral Equations.MATH 202B Course Description

Measure And Integration. Product Measures And Fubini-type Theorems. Signed Measures; Hahn And Jordan Decompositions. Radon-nikodym Theorem. Integration On The Line And In Rn. Differentiation Of The Integral. Hausdorff Measures. Fourier Transform. Introduction To Linear Topological Spaces, Banach Spaces And Hilbert Spaces. Banach-steinhaus Theorem; Closed Graph Theorem. Hahn-banach Theorem. Duality; The Dual Of Lp. Measures On Locally Compact Spaces; The Dual Of C(x). Weak And Weak-* Topologies; Banach-alaoglu Theorem. Convexity And The Krein-milman Theorem. Additional Topics Chosen May Include Compact Operators, Spectral Theory Of Compact Operators, And Applications To Integral Equations.

## Professors Who Teach MATH 202B

5 Professors View: |
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M Rieffel
1 class times for Spring 2015 |
Average grades given in the course: |
1 Recommended
Most Recommended |

MATH 202B Introduction to Topology and Analysis
Great teaching. Learned a lot through his teaching. Expect the material to be tough since it's a graduate analysis course (though considered relatively easy when compared to other courses). Homework good for learning and thinking. Attendance is mandatory since his teaching is not based on textbooks. Enthusiastic and sometimes talks about the application of operator algebra and approximation theory. Good for undergraduates to learn more about analysis. |
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J Holmer
No class times this semester |
Average grades given in the course: |
0 Recommended |

F Christ
No class times this semester |
Average grades given in the course: |
0 Recommended |

M Ratner
No class times this semester |
Average grades given in the course: |
0 Recommended |

D Sarason
No class times this semester |
Average grades given in the course: |
0 Recommended |

We did not find any professors that have taught MATH 202B Introduction to Topology and Analysis in the last year. Click here to view all professors that have taught MATH 202B Introduction to Topology and Analysis in the past. |
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