Temat: locally Hilbert space - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: The spectral theorem for locally normal operators
Autorzy:: Gheondea, A.
Powiązania:: https://bibliotekanauki.pl/articles/952792.pdf
Data publikacji:: 2018
Wydawca:: Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:: locally Hilbert space
locally C*-algebra
locally normal operator
local projection
locally spectral measure
Opis:: We prove the spectral theorem for locally normal operators in terms of a locally spectral measure. In order to do this, we first obtain some characterisations of local projections and we single out and investigate the concept of a locally spectral measure.
Źródło:: Opuscula Mathematica; 2018, 38, 5; 597-662
1232-9274
2300-6919
Pojawia się w:: Opuscula Mathematica
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: On locally Hilbert spaces
Autorzy:: Gheondea, A.
Powiązania:: https://bibliotekanauki.pl/articles/952830.pdf
Data publikacji:: 2016
Wydawca:: Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:: locally Hilbert space
inductive limit
projective limit
orthocomplemented subspaces
linear functional
dual spaces
Opis:: This is an investigation of some basic properties of strictly inductive limits of Hilbert spaces, called locally Hilbert spaces, with respect to their topological properties, the geometry of their subspaces, linear functionals and dual spaces.
Źródło:: Opuscula Mathematica; 2016, 36, 6; 735-747
1232-9274
2300-6919
Pojawia się w:: Opuscula Mathematica
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 3.

Tytuł:: Spaces of upper semicontinuous multi-valued functions on complete metric spaces
Autorzy:: Sakai, Katsuro
Uehara, Shigenori
Powiązania:: https://bibliotekanauki.pl/articles/1205236.pdf
Data publikacji:: 1999
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:: space of upper semicontinuous multi-valued functions,
hyperspace of non-empty closed sets,
Hausdorff metric,
Hilbert space,
uniformly locally connected
Opis:: Let X = (X,d) be a metric space and let the product space X × ℝ be endowed with the metric ϱ ((x,t),(x',t')) = max{d(x,x'), |t - t'|}. We denote by $USCC_B(X)$ the space of bounded upper semicontinuous multi-valued functions φ : X → ℝ such that each φ(x) is a closed interval. We identify $φ ∈ USCC_B(X)$ with its graph which is a closed subset of X × ℝ. The space $USCC_B(X)$ admits the Hausdorff metric induced by ϱ. It is proved that if X = (X,d) is uniformly locally connected, non-compact and complete, then $USCC_B(X)$ is homeomorphic to a non-separable Hilbert space. In case X is separable, it is homeomorphic to $ℓ_2(2^ℕ)$.
Źródło:: Fundamenta Mathematicae; 1999, 160, 3; 199-218
0016-2736
Pojawia się w:: Fundamenta Mathematicae
Dostawca treści:: Biblioteka Nauki

Artykuł

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