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Compact operator with no non-zero eigenvalues is zero?

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#hilbert-spaces #compact-operators
216
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the c*-algebra generated by the Volterra operator

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#functional-analysis #operator-theory #operator-algebras #c-star-algebras #compact-operators
825
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Compact operator in Hilbert spaces reach the maximum in the sphere.

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#functional-analysis #hilbert-spaces #compact-operators
178
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Adjoint of Compact Operators in Normed spaces

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#functional-analysis #compact-operators
1.2k
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Compact operators form the only closed proper ideal of bounded linear operators

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#functional-analysis #ideals #spectral-theory #compact-operators
176
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necessary and sufficient conditions for certain operators on $C[0,1]$ to be compact

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#real-analysis #complex-analysis #functional-analysis #compact-operators
705
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Finite rank operators are dense in compact operators on $L^p(\mu)$

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#real-analysis #functional-analysis #compact-operators
561
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Why is $A$ a compact operator?

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#functional-analysis #operator-theory #compact-operators
123
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Multiplication functional $M_f$ compact iff $f$ is in $c_0(\mathbb{N})$

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#analysis #functional-analysis #compact-operators
185
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Is range of completely continuous of bounded set finite dimensional set?

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#operator-theory #differential-topology #banach-spaces #compact-operators #dimension-theory-analysis
147
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Algebra of compact operators on $\ell_p$

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#banach-spaces #banach-algebras #compact-operators
64
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Spectrum is finite or unbounded

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#functional-analysis #spectral-theory #compact-operators
142
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Compact operators are orthogonally equivalent to a diagonal matrix?

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#functional-analysis #operator-theory #hilbert-spaces #compact-operators
204
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Problem understanding compact and Fredholm operators

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#functional-analysis #partial-differential-equations #compact-operators
76
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Injectivity of index map for $K_1(S^1)$

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#algebraic-topology #operator-algebras #compact-operators #topological-k-theory #k-theory

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