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Some remarks on quasi-Hermitian operators

Bibliographic reference Antoine, Jean-Pierre ; Trapani, Camillo. Some remarks on quasi-Hermitian operators. In: Journal of Mathematical Physics, Vol. 55, no. 1, p. 013503 (2014)
Permanent URL http://hdl.handle.net/2078.1/137114
  1. Dieudonné J., Proceedings of the International Symposium on Linear Spaces, Jerusalem, 1960, 115 (1961)
  2. Siegl P., Krejčiřík D., On the metric operator for the imaginary cubic oscillator, 10.1103/physrevd.86.121702
  3. Bagarello F., From self-adjoint to non-self-adjoint harmonic oscillators: Physical consequences and mathematical pitfalls, 10.1103/physreva.88.032120
  4. Bagarello Fabio, Fring Andreas, Non-self-adjoint model of a two-dimensional noncommutative space with an unbound metric, 10.1103/physreva.88.042119
  5. Bagarello Fabio, Znojil Miloslav, Nonlinear pseudo-bosons versus hidden Hermiticity: II. The case of unbounded operators, 10.1088/1751-8113/45/11/115311
  6. Mostafazadeh A., Pseudo-Hermitian quantum mechanics with unbounded metric operators, 10.1098/rsta.2012.0050
  7. Antoine Jean-Pierre, Trapani Camillo, Corrigendum: Partial inner product spaces, metric operators and generalized hermiticity, 10.1088/1751-8113/46/32/329501
  8. Antoine Jean-Pierre, Trapani Camillo, Partial Inner Product Spaces, ISBN:9783642051357, 10.1007/978-3-642-05136-4
  9. Dunford N., Linear Operators. Part I: General Theory; Part II: Spectral Theory; Part III: Spectral Operators (1957)
  10. Bender Carl M, Making sense of non-Hermitian Hamiltonians, 10.1088/0034-4885/70/6/r03
  11. Bender Carl, Fring Andreas, Günther Uwe, Jones Hugh, Quantum physics with non-Hermitian operators, 10.1088/1751-8113/45/44/440301
  12. Bergh Jöran, Löfström Jörgen, Interpolation Spaces, ISBN:9783642664533, 10.1007/978-3-642-66451-9
  13. Hoover T. B., Ill. J. Math., 16, 678 (1972)
  14. Kantorovitz Shmuel, On the characterization of spectral operators, 10.1090/s0002-9947-1964-0160115-5
  15. Scholtz F.G., Geyer H.B., Hahne F.J.W., Quasi-Hermitian operators in quantum mechanics and the variational principle, 10.1016/0003-4916(92)90284-s
  16. Kretschmer R., Szymanowski L., Quasi-Hermiticity in infinite-dimensional Hilbert spaces, 10.1016/j.physleta.2004.03.044
  17. MOSTAFAZADEH ALI, PSEUDO-HERMITIAN REPRESENTATION OF QUANTUM MECHANICS, 10.1142/s0219887810004816
  18. Albeverio S, Günther U, Kuzhel S, J-self-adjoint operators with \mathcal{C} -symmetries: an extension theory approach, 10.1088/1751-8113/42/10/105205
  19. Bognár János, Indefinite Inner Product Spaces, ISBN:9783642655692, 10.1007/978-3-642-65567-8
  20. Bender Carl M, Kuzhel Sergii, Unbounded $\mathcal {C}$-symmetries and their nonuniqueness, 10.1088/1751-8113/45/44/444005
  21. Davies E. Brian, Linear Operators and their Spectra, ISBN:9780511618864, 10.1017/cbo9780511618864
  22. Sz.-Nagy B., Harmonic Analysis of Operators in Hilbert Space (1970)
  23. Tzafriri L., Quasi-similarity for spectral operators on Banach spaces, 10.2140/pjm.1968.25.197
  24. Dunford Nelson, A survey of the theory of spectral operators, 10.1090/s0002-9904-1958-10219-0
  25. Feldzamen Alvin N., Semi-Similarity Invariants for Spectral Operators on Hilbert Space, 10.2307/1993322
  26. �ta Sch�ichi, Schm�dgen Konrad, On some classes of unbounded operators, 10.1007/bf01195114
  27. Davies E.B., Semi-Classical States for Non-Self-Adjoint Schrödinger Operators, 10.1007/s002200050521
  28. Samsonov B. F., Hermitian Hamiltonian equivalent to a given non-Hermitian one: manifestation of spectral singularity, 10.1098/rsta.2012.0044
  29. Reed M., Methods of Modern Mathematical Physics. I. Functional Analysis (1972)
  30. Schmüdgen Konrad, Unbounded Self-adjoint Operators on Hilbert Space, ISBN:9789400747524, 10.1007/978-94-007-4753-1
  31. Reed M., Methods of Modern Mathematical Physics. IV. Analysis of Operators (1978)
  32. Weidmann Joachim, Linear Operators in Hilbert Spaces, ISBN:9781461260295, 10.1007/978-1-4612-6027-1
  33. Mackey G. W., Commutative Banach Algebras, 17 (1959)
  34. Burnap C., Zweifel P. F., A note on the spectral theorem, 10.1007/bf01199348
  35. Barut A. O., Theory of Group Representations and Applications (1977)
  36. Nelson Edward, Analytic Vectors, 10.2307/1970331
  37. Schwartz Jack, Some non-selfadjoint operators, 10.1002/cpa.3160130405