نتایج جستجو برای: Orthogonality preserving operators
تعداد نتایج: 153442 فیلتر نتایج به سال:
In this paper, we characterize the class of orthogonality preserving operators on an infinite-dimensional Hilbert space $H$ as scalar multiples of unitary operators between $H$ and some closed subspaces of $H$. We show that any circle (centered at the origin) is the spectrum of an orthogonality preserving operator. Also, we prove that every compact normal operator is a strongly orthogo...
In this paper, we present results concerning orthogonality in Hilbert C∗-modules. Moreover, for a C∗-algebra A, prove theorems the multi-A-linearity and its preservation byA-linear operators. New version of solution equation on C∗-modules mappings preserving are also investigated.
We generalize the notion of Lagrangian subspaces to self-orthogonal subspaces with respect to a (skew-)symmetric form, thus characterizing (skew-) self-adjoint and unitary operators by means of self-orthogonal subspaces. By orthogonality preserving mappings, these characterizations can be transferred to abstract boundary value spaces of (skew-)symmetric operators. Introducing the notion of boun...
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