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$\rho(A+zI)=z$ for $A$ compact is a pure state

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#functional-analysis #operator-theory #hilbert-spaces
45
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Examples of Normalized Semigroup of Operators

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#functional-analysis #operator-theory #banach-lattices
94
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Confusion about definition of orthogonal projection

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#operator-theory
187
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show that $T$ is a Fredholm operator.

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#functional-analysis #operator-theory #spectral-theory
130
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Range of dense sets for unbounded linear operators

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#functional-analysis #linear-transformations #operator-theory
98
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Finding a separable, closed subspace.

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#functional-analysis #operator-theory #banach-spaces
47
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Is the Spectrum of a compact operator real?

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#operator-theory #compact-operators
61
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Description of the adjoint of this closed operator

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#functional-analysis #analysis #operator-theory #unbounded-operators
65
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If $\sigma (T)'\subseteq \{ 0\} \ \ \forall T $ then are $T$s compact?

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#operator-theory #spectral-theory #compact-operators
49
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Distance to the image of a continuous linear mapping over a Hilbert space

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#functional-analysis #analysis #operator-theory #hilbert-spaces
48
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what would be a non-trivial (non-constant) sequence of operators that converges to the identity in infinite dimensional Banach spaces?

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#functional-analysis #operator-theory #banach-spaces #compact-operators
111
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accumulation points of spectrum of C$^*$-algebras

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#operator-theory #c-star-algebras #compact-operators
89
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Fractional powers of a diagonal operator

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#reference-request #operator-theory #hilbert-spaces #semigroup-of-operators #fractional-sobolev-spaces
43
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Invariance of numerical radius

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#functional-analysis #operator-theory #operator-algebras #matrix-analysis
44
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Question on Semigroup Theory: Properties of a generator

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#functional-analysis #operator-theory #semigroup-of-operators

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