{"product_id":"spectral-properties-of-certain-operators-ilwoo-cho-9780443151750","title":"Spectral Properties of Certain Operators on a Free Hilbert Space and the Semicircular Law","description":"In \u003ci\u003eSpectral Properties of Certain Operators on a Free Hilbert Space and the Semicircular Law\u003c\/i\u003e, the authors consider the so-called free Hilbert spaces, which are the Hilbert spaces induced by the usual l\u003csup\u003e2\u003c\/sup\u003e Hilbert spaces and operators acting on them. The construction of these operators itself is interesting and provides new types of Hilbert-space operators. Also, by considering spectral-theoretic properties of these operators, the authors illustrate how \"free-Hilbert-space\" Operator Theory is different from the classical Operator Theory. More interestingly, the authors demonstrate how such operators affect the semicircular law induced by the ONB-vectors of a fixed free Hilbert space. Different from the usual approaches, this book shows how \"inside\" actions of operator algebra deform the free-probabilistic information--in particular, the semicircular law.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Ilwoo Cho, Hemen Dutta\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 044315175X\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9780443151750\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Academic Press\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 04\/26\/2023\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 164\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Paperback\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 0.65lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.25h x 7.50w x 0.35d","brand":"Ilwoo Cho","offers":[{"title":"Paperback","offer_id":44069385044223,"sku":"9780443151750","price":180.0,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_99bd17c2-1005-45dc-862f-525265e02e74.jpg?v=1685424426","url":"https:\/\/www.whiterainbookhouse.com\/products\/spectral-properties-of-certain-operators-ilwoo-cho-9780443151750","provider":"WR Book House","version":"1.0","type":"link"}