Zobrazeno 1 - 10
of 151
pro vyhledávání: '"CAMILLO TRAPANI"'
Autor:
Jean-Pierre Antoine, Camillo Trapani
Publikováno v:
Mathematics, Vol 11, Iss 1, p 195 (2022)
Given a self-adjoint operator A in a Hilbert space H, we analyze its spectral behavior when it is expressed in terms of generalized eigenvectors. Using the formalism of Gel’fand distribution bases, we explore the conditions for the generalized eige
Externí odkaz:
https://doaj.org/article/e43fb271e0234b358a0c0a0912a59d71
Autor:
Jean-Pierre Antoine, Camillo Trapani
Publikováno v:
Axioms, Vol 8, Iss 2, p 52 (2019)
We analyze the notion of reproducing pairs of weakly measurable functions, a generalization of continuous frames. The aim is to represent elements of an abstract space Y as superpositions of weakly measurable functions belonging to a space Z : = Z (
Externí odkaz:
https://doaj.org/article/473647eb38be4282bd760708c89093b9
Publikováno v:
Advances in Mathematical Physics, Vol 2011 (2011)
We make explicit in terms of categories a number of statements from the theory of partial inner product spaces (PIP-spaces) and operators on them. In particular, we construct sheaves and cosheaves of operators on certain PIP-spaces of practical inter
Externí odkaz:
https://doaj.org/article/cf13937f714a41518491bf55c87a635e
Autor:
Jean-Pierre Antoine, Camillo Trapani
Publikováno v:
Advances in Mathematical Physics, Vol 2011 (2011)
Externí odkaz:
https://doaj.org/article/8b012ea2b4994e81ad991cacc8f0f8a9
Autor:
Jean-Pierre Antoine, Camillo Trapani
Publikováno v:
Advances in Mathematical Physics, Vol 2010 (2010)
Many families of function spaces play a central role in analysis, in particular, in signal processing (e.g., wavelet or Gabor analysis). Typical are 𝐿𝑝 spaces, Besov spaces, amalgam spaces, or modulation spaces. In all these cases, the paramete
Externí odkaz:
https://doaj.org/article/7425b065222f4387b60a30234840a242
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 2006 (2006)
Consider two partial *-algebras, 1 and 2, and an *-homomorphism Φ from 1 into 2. Given a biweight ϕ on 2, we discuss conditions under which the natural composition ϕ∘Φ of ϕ and Φ is a biweight on 1. In particular, we examine whether the restr
Externí odkaz:
https://doaj.org/article/612668beddab451e93d684b95178a6ec
Autor:
Camillo Trapani
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 2006 (2006)
The notion of (unbounded) C*-seminorms plays a relevant role in the representation theory of *-algebras and partial *-algebras. A rather complete analysis of the case of *-algebras has given rise to a series of interesting concepts like that of semif
Externí odkaz:
https://doaj.org/article/d4a82db6dcb042f5a13d8e39f4a3798b
Autor:
Camillo Trapani, Jean-Pierre Antoine
Publikováno v:
Mathematics; Volume 11; Issue 1; Pages: 195
Given a self-adjoint operator A in a Hilbert space H, we analyze its spectral behavior when it is expressed in terms of generalized eigenvectors. Using the formalism of Gel’fand distribution bases, we explore the conditions for the generalized eige
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b3045f45bbef4b8504013141b0d0dcb7
Publikováno v:
Banach Journal of Mathematical Analysis. 16
We study, from a quite general point of view, the family of all extensions of a positive hermitian linear functional $$\omega $$ ω , defined on a dense *-subalgebra $${\mathfrak {A}}_0$$ A 0 of a topological *-algebra $${\mathfrak {A}}[\tau ]$$ A [
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d3c50b1432a0ee81ebf6bc5d27ec67e6
https://doi.org/10.1007/s43037-022-00199-1
https://doi.org/10.1007/s43037-022-00199-1