Camillo Trapani

Professor

Affiliazioni precedenti
  • 534 Citazioni
  • 12 Indice H
1991 …2019
In caso di modifiche a Pure, queste saranno visibili qui a breve.

Risultato della ricerca 1991 2019

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Article
2019

Banach partial $*$-algebras: an overview

Trapani, C. & Antoine, J-P., 2019, In : Advances in Operator Theory. 4, pag. 71-98 28 pag.

Risultato della ricerca: Article

Partial Algebra
Stefan Banach
Algebra
Function Space
Hilbert
2 Citazioni (Scopus)

Distribution Frames and Bases

Triolo, S., Trapani, C. & Tschinke, F., 2019, In : Journal of Fourier Analysis and Applications. 25, pag. 2109-2140 32 pag.

Risultato della ricerca: Article

Hilbert spaces
Orthonormal basis
Hilbert space
Riesz Basis
D-space
1 Citazione (Scopus)

PIP-Space Valued Reproducing Pairs of Measurable Functions

Trapani, C. & Antoine, J-P., 2019, In : Axioms. 8, pag. 52- 22 pag.

Risultato della ricerca: Article

Measurable function
Hilbert space
Requirements

Unbounded derivations and *-automorphisms groups of Banach quasi *-algebras

Trapani, C. & Adamo, M. S., 2019, In : Annali di Matematica Pura ed Applicata. 198, pag. 1711-1729 19 pag.

Risultato della ricerca: Article

Stefan Banach
Algebra
Automorphisms
Sesquilinear form
Infinitesimal Generator
2018
4 Citazioni (Scopus)
Sesquilinear form
Non-self-adjoint Operator
operators
Operator
Family
2017
1 Citazione (Scopus)
Stefan Banach
Algebra
Hilbert
Representability
Quasiconvex
7 Citazioni (Scopus)
Sesquilinear form
Representation Theorem
Closed
Solvability
Numerical Range
8 Citazioni (Scopus)

Reproducing Pairs of Measurable Functions

Trapani, C., Antoine, J-P. & Speckbacher, 2017, In : Acta Applicandae Mathematicae. pag. 1-21 21 pag.

Risultato della ricerca: Article

Hilbert spaces
Measurable function
Hilbert space
Generalise
10 Citazioni (Scopus)
Sesquilinear form
Hilbert spaces
Representation Theorem
Vector spaces
Decomposition
2016
2 Citazioni (Scopus)
Locally Convex Space
Algebra
Partial Algebra
Hilbert spaces
Linear map
4 Citazioni (Scopus)
Hamiltonians
Gibbs States
Quantum theory
Quantum Mechanics
Mathematical operators
6 Citazioni (Scopus)

Operators on Partial Inner Product Spaces:Towards a Spectral Analysis

Trapani, C. & Antoine, J-P., 2016, In : Mediterranean Journal of Mathematics. 13, pag. 323-351 29 pag.

Risultato della ricerca: Article

Generalized Eigenvalue
Inner product space
Continuous Spectrum
Spectral Analysis
Resolvent
4 Citazioni (Scopus)

Reproducing pairs of measurable functions and partial inner product spaces

Trapani, C. & Antoine, J-P., 2016, In : Advances in Operator Theory. 2, pag. 126-146 21 pag.

Risultato della ricerca: Article

Inner product space
Measurable function
Partial
Continue
Generalise
7 Citazioni (Scopus)
Hilbert spaces
Hilbert space
Riesz Basis
Orthonormal basis
Unbounded Operators
1 Citazione (Scopus)
Singular Perturbation
Hilbert space
Operator
Sesquilinear form
Self-adjoint Operator
2015
2 Citazioni (Scopus)

Locally convex quasi C*-algebras and noncommutative integration

Triolo, S. & Trapani, C., 2015, In : Studia Mathematica. 228, pag. 33-45 13 pag.

Risultato della ricerca: Article

Quasiconvex
C*-algebra
Semisimple
Completion
Continue
2014
18 Citazioni (Scopus)

Non-self-adjoint hamiltonians defined by Riesz bases

Bagarello, F., Trapani, C., Inoue & Bagarello, 2014, In : Journal of Mathematical Physics. 55, 12 pag.

Risultato della ricerca: Article

Riesz Basis
eigenvectors
operators
Thing
Eigenvector
2 Citazioni (Scopus)

Non-Self-Adjoint Resolutions of the Identity and Associated Operators

Trapani, C. & Inoue, A., 2014, In : Complex Analysis and Operator Theory. 8, pag. 1531-1546 16 pag.

Risultato della ricerca: Article

Closed Operator
Hilbert spaces
Mathematical operators
Spectral Representation
Bounded Operator
8 Citazioni (Scopus)
Hilbert spaces
Set theory
Resolvent
Spectral Properties
Mathematical operators
10 Citazioni (Scopus)

Some remarks on quasi-Hermitian operators

Trapani, C. & Antoine, J-P., 2014, In : Journal of Mathematical Physics. 55, 17 pag.

Risultato della ricerca: Article

Hermitian Operators
operators
Operator
Metric
Positive Operator
4 Citazioni (Scopus)

SVEP and local spectral radius formula for unbounded operators

Trapani, C., Triolo, S. & Aiena, P., 2014, In : Filomat. 28,2, pag. 263-273 11 pag.

Risultato della ricerca: Article

Single Valued Extension Property
Unbounded Operators
Spectral Radius
Sufficient Conditions
Operator
2013
8 Citazioni (Scopus)
metric space
Inner product space
Hilbert spaces
Mathematical operators
Partial
2012
6 Citazioni (Scopus)

Fully representable and *-semisimple topological partial *-algebras

Trapani, C., Bellomonte, G. & Antoine, J-P., 2012, In : Studia Mathematica. 208, pag. 167-194 28 pag.

Risultato della ricerca: Article

Partial Algebra
Topological Algebra
Semisimple
Sesquilinear form
Positive Cone

Induced and reduced unbounded operator algebras

Trapani, C., Bagarello, F. & Inoue, 2012, In : Annali di Matematica Pura ed Applicata. 191, pag. 285-292 8 pag.

Risultato della ricerca: Article

Partial Algebra
Unbounded Operators
Operator Algebras
Algebra
Mathematical operators
12 Citazioni (Scopus)
Quasiconvex
Algebra
Topology
Boundedness
2 Citazioni (Scopus)

Representable linear functionals on partial ∗-algebras

Trapani, C., Bagarello, F. & Inoue, A., 2012, In : Mediterranean Journal of Mathematics. 9, pag. 153-163 11 pag.

Risultato della ricerca: Article

Sesquilinear form
Partial Algebra
Linear Functionals
Decompose
Form
6 Citazioni (Scopus)
Unbounded Operators
commutation
operators
terminology
Hilbert space
2011
6 Citazioni (Scopus)

Bounded elements in certain topological partial *-algebras

Trapani, C., Tschinke, F. & Antoine, J-P., 2011, In : Studia Mathematica. 203, pag. 223-251 29 pag.

Risultato della ricerca: Article

3 Citazioni (Scopus)

Partial inner product spaces: Some categorical aspects

Trapani, C., Antoine, J-P. & Trapani, C., 2011, In : Advances in Mathematical Physics. 2011, 22 pag.

Risultato della ricerca: Article

4 Citazioni (Scopus)

Quasi *-algebras and generalized inductive limits of C*-algebras

Bellomonte, G. & Trapani, C., 2011, In : Studia Mathematica. 202, pag. 165-190 26 pag.

Risultato della ricerca: Article

11 Citazioni (Scopus)
algebra
Physics
Algebra
physics
Asymptotic Behavior
11 Citazioni (Scopus)
Hilbert space
Inductive Limit
Extremes
Family
Operator
6 Citazioni (Scopus)
Unbounded Operators
commutation
operators
Operator
commutators
10 Citazioni (Scopus)
Linear Functionals
Algebra
Topological Algebra
Linear Functional
Subalgebra
2 Citazioni (Scopus)
5 Citazioni (Scopus)

Locally convex quasi C*-normed algebras

Bagarello, F., Trapani, C., Fragoulopoulou & Inoue, 2010, In : Journal of Mathematical Analysis and Applications. 366, pag. 593-606 14 pag.

Risultato della ricerca: Article

Quasiconvex
Algebra
Completion
Functional Calculus
C*-algebra
4 Citazioni (Scopus)

Spectral properties of partial *-algebras

Tschinke, F., Trapani, C. & Antoine, J-P., 2010, In : Mediterranean Journal of Mathematics. 2010, 20 pag.

Risultato della ricerca: Article

Partial Algebra
Spectral Properties
Partial
Topological Algebra
Continue
3 Citazioni (Scopus)

The Partial Inner Product Space Method: A Quick Overview

Trapani, C. & Antoine, J-P., 2010, In : Advances in Mathematical Physics. 2010, 37 pag.

Risultato della ricerca: Article

2009
3 Citazioni (Scopus)
Unbounded Operators
Operator Algebras
Algebra
Mathematical operators
3 Citazioni (Scopus)
Degrees of freedom (mechanics)
Algebra
Quantum Systems
Degree of freedom
Relationships
2008
16 Citazioni (Scopus)
11 Citazioni (Scopus)

Representations of modules over a *-algebra and related seminorms

Triolo, S. & Trapani, C., 2008, In : Studia Mathematica. 184, pag. 133-148 16 pag.

Risultato della ricerca: Article

Seminorm
Module
Algebra
7 Citazioni (Scopus)

Structure of locally convex quasi C*-algebras

Trapani, C., Bagarello, F., Fragoulopoulou, M. & Inoue, A., 2008, In : Journal of the Mathematical Society of Japan. 60, pag. 511-549 39 pag.

Risultato della ricerca: Article

Quasiconvex
C*-algebra
Algebra
Partial Algebra
Positive Cone
2007
Partial Algebra
Bilinear Map
Quasiconvex
Algebra
Partial
5 Citazioni (Scopus)

Continuous *-homomorphisms of Banach partial *-algebras

Tschinke, F., Trapani, C. & Antoine, J-P., 2007, In : Mediterranean Journal of Mathematics. 4, pag. 357-373

Risultato della ricerca: Article

2006

A note on Banach partial *-algebras

Trapani, C., 2006, In : Mediterranean Journal of Mathematics. 3, pag. 67-86

Risultato della ricerca: Article

4 Citazioni (Scopus)
Von Neumann Algebra
Faithful
Trace
Family
19 Citazioni (Scopus)

Banach elements and spectrum in Banach quasi *-algebras

Trapani, C. & Trapani, C., 2006, In : Studia Mathematica. 172, pag. 249-273

Risultato della ricerca: Article

Stefan Banach
Algebra
Sesquilinear form
Seminorm
Spectral Radius