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Questions Tagged with "functional analysis"

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Why is identity map on a separable Hilbert space not compact? False proof.

1 answer

Mathematics Asked 2 years ago

Show that if a Banach space is generated by a countable set with finite dimension then it has finite dimension

1 answer

Mathematics Asked 2 years ago

Assume $T_n,T$ are bounded bijective linear operators $T_n to T$ pointwise. Show $T_n^{-1}to T^{-1}$ pointwise $iff$ $|T_n^{-1}|leq C$

1 answer

Mathematics Asked 2 years ago

Does convergence imply uniform convergence in this example?

0 answer

Mathematics Asked 2 years ago by Daniel Huff

Is this proof right?

2 answer

Mathematics Asked 2 years ago by The Mathematician

Are functional differentials just regular differentials on the manifold of functionals?

0 answer

Mathematics Asked 2 years ago

Sequence of Lebesgue integrable functions bounded in norm converges pointwise

1 answer

Mathematics Asked 2 years ago

Let $Lambda(x)=(lambda_1x_1,lambda_2x_n,...)$ be an operator $l_2 to l_2$. Show its range is closed iff $inf_{lambda_knot=0} |lambda_k|>0$

1 answer

Mathematics Asked 2 years ago

Eigenvalues of a compact operator with modulus greater than $epsilon$ is finite

1 answer

Mathematics Asked 2 years ago

If $B$ is a $C^*$-subalgebra of $A$, then $sigma_A(b) cup {0} = sigma_B(b) cup {0}$

0 answer

Mathematics Asked 2 years ago

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