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Autor:
Ball, Joseph A., Sau, Haripada
This manuscript is an effort to extend the Sz.-Nagy--Foias dilation and model theory for a single contraction to the case of commuting pair of contractions. Fundamental to the Sz.-Nagy--Foias model theory is the functional model for the minimal isome
Externí odkaz:
http://arxiv.org/abs/2308.07589
Autor:
Ball, Joseph A., Sau, Haripada
We develop a Sz.-Nagy--Foias-type functional model for a commutative contractive operator tuple $\underline{T} = (T_1, \dots, T_d)$ having $T = T_1 \cdots T_d$ equal to a completely nonunitary contraction. We identify additional invariants ${\mathbb
Externí odkaz:
http://arxiv.org/abs/2207.03236
Autor:
Ball, Joseph A., Sau, Haripada
A classical result of Sz.-Nagy asserts that a Hilbert space contraction operator $T$ can be dilated to a unitary $\cU$. A more general multivariable setting for these ideas is the setup where (i) the unit disk is replaced by a domain $\Omega$ contain
Externí odkaz:
http://arxiv.org/abs/2207.03229
Autor:
Ball, Joseph A., Sau, Haripada
A pair of Hilbert space linear operators $(V_1,V_2)$ is said to be $q$-commutative, for a unimodular complex number $q$, if $V_1V_2=qV_2V_1$. A concrete functional model for $q$-commutative pairs of isometries is obtained. The functional model is par
Externí odkaz:
http://arxiv.org/abs/2207.01278
We study a general metric constrained interpolation problem in a de Branges-Rovnyak space $\mathcal{H}(K_S)$ associated with a contractive multiplier $S$ between two Fock spaces along with its commutative counterpart, a de Branges-Rovnyak space assoc
Externí odkaz:
http://arxiv.org/abs/2205.10112
We discuss a (i) quantized version of the Jordan decomposition theorem for a complex Borel measure on a compact Hausdorff space, namely, the more general problem of decomposing a general noncommutative kernel (a quantization of the standard notion of
Externí odkaz:
http://arxiv.org/abs/2202.01298
Autor:
Ball, Joseph H.
Publikováno v:
Vital Speeches of the Day. 3/1/47, Vol. 13 Issue 10, p290. 4p.
Autor:
Ball, Joseph H.
Publikováno v:
Vital Speeches of the Day. 12/15/46, Vol. 13 Issue 5, p133. 5p.