Vishal Gupta

Leipzig, Germany

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Intuition behind a matrix being invertible iff its determinant is non-zero

linear-algebra matrices determinant intuition asked Sep 28, 2013 at 7:02

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32 votes

cardinality of all real sequences

set-theory cardinals asked Jun 7, 2013 at 14:01

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18 votes

Why can we interchange summations?

real-analysis sequences-and-series asked Aug 13, 2013 at 17:28

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12 votes

Evaluating the series $\sum\limits_{n=1}^\infty \frac1{4n^2+2n}$

calculus real-analysis sequences-and-series asked May 30, 2013 at 17:14

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11 votes

Schwartz Class Functions on Integers

real-analysis asked Aug 22, 2013 at 12:52

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11 votes

How that the Lie algebra of the normalizer of a Lie group equal the normalizer of the Lie algebra

lie-groups lie-algebras asked Aug 19, 2013 at 4:28

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10 votes

reference for operator algebra

functional-analysis reference-request operator-algebras asked Jul 23, 2013 at 8:52

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9 votes

If every convergent subsequece converges to the same limit then the sequence converges

sequences-and-series metric-spaces compactness asked Aug 7, 2013 at 4:44

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8 votes

An Efficient Route to Tate's Thesis

reference-request algebraic-number-theory automorphic-forms asked Nov 9, 2014 at 9:23

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7 votes

Analytic continuation of intertwining operator

nt.number-theory automorphic-forms trace-formula asked May 28, 2015 at 9:16

mathoverflow.net

Top Answers

What are some examples of infinite dimensional vector spaces?

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Prove that sequence space $\ell_p(\mathbb R)$ is separable

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Demystify integration of $\int \frac{1}{x} \mathrm dx$

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What is the most elementary proof that $\lim_{n \to \infty} (1+1/n)^n$ exists?

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If every convergent subsequece converges to the same limit then the sequence converges

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Prove that a sequence diverges if and only if its subsequence diverges

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First Course in Linear Algebra book suggestions?

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Generalization of Fatou's Lemma

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(Theoretical) Multivariable Calculus Textbooks

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$\lim \limits_{h\to 0} \frac{e^h-1}{h}=1$ and the relation with $\sin'(x)=\cos(x)$

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Binomial Sum: An In-Depth Analysis into the Relatedness of Two Equivalences

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How to prove that this series is a metric: $d(x,y):=\sum_{i=0}^\infty \frac{|x_i -y_i|}{2^i (1+|x_i-y_i|)}$

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Why does $v \in \ker(A- \lambda I)^m$ imply that $Av$ is contained in $\ker(A- \lambda I)^m$?

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Is exponential function analytic over all complex numbers

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Topological groups are completely regular

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Is a real number the limit of a Cauchy sequence, the sequence itself, a shrinking closed interval of rational numbers, or what?

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Definition of Lie Algebra

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Closed operator

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boundary of the boundary of a set is empty

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References for multivariable calculus

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$\dim (V_1+V_2) \geq \dim(V_1 \cap V_2) +2$

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(Simple) Examples on Non-Commutative Rings

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How to show that a polynomial has real root between two given values?

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$T:\ell_2\to \ell_2, T(x_1,x_2,\dotsc)=(x_1,x_2/2,x_3/3,\dotsc)$

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