Zobrazeno 1 - 10
of 59
pro vyhledávání: '"Muraleetharan, B."'
For a bounded right linear operators $A$, in a right quaternionic Hilbert space $V_{\mathbb{H}}^{R}$, following the complex formalism, we study the Berberian extension $A^\circ$, which is an extension of $A$ in a right quaternionic Hilbert space obta
Externí odkaz:
http://arxiv.org/abs/1911.08561
In a right quaternionic Hilbert space, following the complex formalism, decomposable operators, the so-called Bishop's property and the single valued extension property are defined and the connections between them are studied to certain extent. In pa
Externí odkaz:
http://arxiv.org/abs/1905.05936
In a right quaternionic Hilbert space, for a bounded right linear operator, the Kato S-spectrum is introduced and studied to a certain extent. In particular, it is shown that the Kato S-spectrum is a non-empty compact subset of the S-spectrum and it
Externí odkaz:
http://arxiv.org/abs/1904.02977
Publikováno v:
J. Geom.Phys., 135 (2019) 7-20
In this note first we study the Weyl operators and Weyl S-spectrum of a bounded right quaternionic linear operator, in the setting of the so-called S-spectrum, in a right quaternionic Hilbert space. In particular, we give a characterization for the S
Externí odkaz:
http://arxiv.org/abs/1805.10131
Publikováno v:
J. Math. Phys., 59, 103506 (2018)
For bounded right linear operators, in a right quaternionic Hilbert space with a left multiplication defined on it, we study the approximate $S$-point spectrum. In the same Hilbert space, then we study the Fredholm operators and the Fredholm index. I
Externí odkaz:
http://arxiv.org/abs/1805.01461
In this paper we consider three minimization problems, namely quadratic, $\rho$-convex and quadratic fractional programing problems. The quadratic problem is considered with quadratic inequality constraints with bounded continuous and discrete mixed
Externí odkaz:
http://arxiv.org/abs/1804.02270
Using a left multiplication defined on a right quaternionic Hilbert space, we shall demonstrate that various classes of coherent states such as the canonical coherent states, pure squeezed states, fermionic coherent states can be defined with all the
Externí odkaz:
http://arxiv.org/abs/1706.07299
Using a left multiplication defined on a right quaternionic Hilbert space, we shall demonstrate that pure squeezed states can be defined with all the desired properties on a right quaternionic Hilbert space. Further, we shall also demonstrate squeeze
Externí odkaz:
http://arxiv.org/abs/1706.00686
Publikováno v:
Journal of Geometry and Physics, Volume 124, 2018, 442-455
In this paper we define the quaternionic Cayley transformation of a densely defined, symmetric, quaternionic right linear operator and formulate a general theory of defect number in a right quaternionic Hilbert space. This study investigates the rela
Externí odkaz:
http://arxiv.org/abs/1705.05240
Using a left multiplication defined on a right quaternionic Hilbert space, linear self-adjoint momentum operators on a right quaternionic Hilbert space are defined in complete analogy with their complex counterpart. With the aid of the so-obtained po
Externí odkaz:
http://arxiv.org/abs/1704.02946