Zobrazeno 1 - 10
of 503
pro vyhledávání: '"Trapani C."'
This paper deals with the possibility of transforming a weakly measurable function in a Hilbert space into a continuous frame by a metric operator, i.e., a strictly positive self-adjoint operator. A necessary condition is that the domain of the analy
Externí odkaz:
http://arxiv.org/abs/2002.11632
We discuss some features of non-self-adjoint Hamiltonians with real discrete simple spectrum under the assumption that the eigenvectors form a Riesz basis of Hilbert space. Among other things, {we give conditions under which these Hamiltonians} can b
Externí odkaz:
http://arxiv.org/abs/1402.6199
Autor:
Inoue, A., Trapani, C.
Closed operators in Hilbert space defined by a non-self-adjoint resolution of the identity $\{X(\lambda)\}_{\lambda\in {\mb R}}$, whose adjoints constitute also a resolution of the identity, are studied . In particular, it is shown that a closed oper
Externí odkaz:
http://arxiv.org/abs/1312.7090
A notion of resolvent set for an operator acting in a rigged Hilbert space $\D \subset \H\subset \D^\times$ is proposed. This set depends on a family of intermediate locally convex spaces living between $\D$ and $\D^\times$, called interspaces. Some
Externí odkaz:
http://arxiv.org/abs/1309.4038
Publikováno v:
Studia Math. 208 (2012) 167-194
We continue our study of topological partial *-algebras, focusing our attention to *-semisimple partial *-algebras, that is, those that possess a {multiplication core} and sufficiently many *-representations. We discuss the respective roles of invari
Externí odkaz:
http://arxiv.org/abs/1203.0509
Publikováno v:
Advances in Mathematical Physics, Vol. 2011, Article ID 957592
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:
http://arxiv.org/abs/1203.0428
Publikováno v:
Rev. Math. Phys, {\bf 11}, 267-302, (1999)
Let $A$ be a partial *-algebra endowed with a topology $\tau$ that makes it into a locally convex topological vector space $A[\tau]$. Then $A$ is called a topological partial *-algebra if it satisfies a number of conditions, which all amount to requi
Externí odkaz:
http://arxiv.org/abs/0904.0894
Publikováno v:
Zeitschrift f\"ur Analyse und ihre Anwendungen, {\bf 20}, No. 2, 295-314, (2001)
The main purpose of this paper is to construct *-representations from unbounded C$^*$-seminorms on partial *-algebras and to investigate their *-representations.
Externí odkaz:
http://arxiv.org/abs/0904.0895
Autor:
Bagarello, F., Trapani, C.
Publikováno v:
Publ. RIMS, Kyoto Univ., {\bf 36}, No. 6, 681-705, (2000)
Morphisms and representations of a class of Banach C*-modules, called CQ*algebras, are considered. Together with a general method for constructing CQ*-algebras, two different ways of extending the GNS-representation are presented.
Externí odkaz:
http://arxiv.org/abs/0904.0891
Publikováno v:
Ann. Inst. H. Poincar\'e, {\bf 69}, 241-264, (1998)
Let $(A, A_o)$ be a topological quasi *-algebra, which means in particular that $A_o$ is a topological *-algebra, dense in $A$. Let $\pi^o$ be a *-representation of $A_o$ in some pre-Hilbert space ${\cal D} \subset {\cal H}$. Then we present several
Externí odkaz:
http://arxiv.org/abs/0904.0887