{"product_id":"the-hardy-space-of-a-slit-domain-von-alexandru-aleman-william-t-ross-und-nathan-s-feldman","title":"The Hardy Space of a Slit Domain","description":"If H is a Hilbert space and T : H ? H is a continous linear operator, a natural question to ask is: What are the closed subspaces M of H for which T M ? M? Of course the famous invariant subspace problem asks whether or not T has any non-trivial invariant subspaces. This monograph is part of a long line of study of the invariant subspaces of the operator T = M (multiplication by the independent variable z, i. e. , M f = zf )on a z z Hilbert space of analytic functions on a bounded domain G in C. The characterization of these M -invariant subspaces is particularly interesting since it entails both the properties z of the functions inside the domain G, their zero sets for example, as well as the behavior of the functions near the boundary of G. The operator M is not only interesting in its z own right but often serves as a model operator for certain classes of linear operators. By this we mean that given an operator T on H with certain properties (certain subnormal operators or two-isometric operators with the right spectral properties, etc. ), there is a Hilbert space of analytic functions on a domain G for which T is unitarity equivalent to M .\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783034600972\"\u003e\u003ch3\u003e\u003c\/h3\u003e\u003c\/div\u003e","brand":"Autorenwelt Shop","offers":[{"title":"Softcover - 9783034600972","offer_id":49592539578693,"sku":"9783034600972","price":53.49,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/73461_12dffcfc-21d4-4a5b-bc4e-3d5a6dea2b40.jpg?v=1784347862","url":"https:\/\/shop.autorenwelt.de\/products\/the-hardy-space-of-a-slit-domain-von-alexandru-aleman-william-t-ross-und-nathan-s-feldman","provider":"Autorenwelt Shop","version":"1.0","type":"link"}