Blogs about: Riesz Representation Theorem
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245B, Notes 12: Continuous functions on locally compact Hausdorff spaces
A key theme in real analysis is that of studying general functions or by first approximating them by “simpler” or “nicer” functions. But the precise class of “simple… more →
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Advanced Analysis, Notes 4: Hilbert spaces (bounded operators, Riesz Theorem, adjoint)
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wrote 7 months ago: Up to this point we studied Hilbert spaces as they sat there and did nothing. But the central subjec … more →
A rank-nulity theorem for Frobenius algebras
wrote 2 years ago: As usual is a field. In this post I will prove a rank-nulity theorem for Frobenius algebras. First w … more →
Measure Theory and Some Trends in Modern Analysis (II)
wrote 2 years ago: The second trend is even more obvious in measure theory, namely, the interplay between stages and ac … more →
245B, Notes 12: Continuous functions on locally compact Hausdorff spaces
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wrote 4 years ago: A key theme in real analysis is that of studying general functions or by first approximating them by … more →
245B, notes 5: Hilbert spaces
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wrote 4 years ago: In the next few lectures, we will be studying four major classes of function spaces. In decreasing o … more →
