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Operator topologies and examples

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#general-topology #functional-analysis #topological-vector-spaces
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Continuity of implicit function

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#real-analysis #functional-analysis #operator-theory #banach-spaces #topological-vector-spaces
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Topological supremum of family of linear topologies

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#general-topology #functional-analysis #topological-vector-spaces
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A typical example of Homeomorphism

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#general-topology #metric-spaces #topological-vector-spaces
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Regarding embeddings of locally convex spaces

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#general-topology #topological-vector-spaces #locally-convex-spaces
60
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Regarding direct sums in topological vector spaces

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#topological-vector-spaces
732
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Metrizability of the unit ball $B_{X^*}$.

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#functional-analysis #normed-spaces #topological-vector-spaces
55
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Is this extension a Hilbert space?

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#linear-algebra #functional-analysis #hilbert-spaces #topological-vector-spaces
169
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Proof that difference of compact and closed sets is also closed

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#topological-groups #topological-vector-spaces
601
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Proving linearity implies (or can imply under opportune conditions) lower semicontinuity

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#functional-analysis #continuity #normed-spaces #topological-vector-spaces #continuous-homomorphisms
202
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If $f:X \to \mathbb{R}$ is continuous, then f(x) is a constant function

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#general-topology #continuity #topological-vector-spaces
820
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Why vector space is named so?

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#linear-algebra #vector-spaces #topological-vector-spaces
283
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Topology: Homeomorphism from R^2 to itself preserving standard topology

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#general-topology #topological-vector-spaces #continuous-homomorphisms
98
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Can a projective change of coordinates always be performed when the underlying field $k$ is arbitrary?

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#algebraic-geometry #complex-geometry #topological-vector-spaces
669
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Functional Analysis Exercise 16 Walter Rudin Chapter 1

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#general-topology #functional-analysis #topological-vector-spaces

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