{"product_id":"essential-numerical-range-and-davis-wielandt-shell-von-owego-dancun-okeso","title":"Essential Numerical Range and Davis-Wielandt Shell","description":"\u003cp\u003eThe study of the Davis-Wielandt shell forms a very important generalization of the numerical range in functional analysis. Hiroshi Nakazito and Mao-Ting Chien studied the connections between the q-numerical range and the Davis-Wielandt shell. Chi-Kwong Li and Yiu-Tung Poon studied the boundary of the Davis-Wielandt shells of normal operators. However, the characterization of the essential numerical range, We(T), and the Davis-Wielandt shell, DW(T) has not been exhausted. One of the pending questions that remained was: What are the connections between the We(T) and the DW(T) of an operator? Moreover, what are the conditions when We(T) and the classical numerical range, W(T), coincide in the Davis-Wielandt shell? Therefore we have presented the Davis-Wielandt shells and the essential numerical range of operators in Hilbert spaces. In this study, we have investigated the following; the relationship between the DW(T) of an operator and the We(T); the relationship between the essential spectrum and the DW(T) of an operator; the condition when the We(T) and the W(T) coincide in the Davis-Wielandt shell.\u003c\/p\u003e\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9786204985572\"\u003e\u003ch3\u003eCharacterization of Essential Numerical Range and Davis-Wielandt Shells of Hilbert Space Operators\u003c\/h3\u003e\u003c\/div\u003e","brand":"Autorenwelt Shop","offers":[{"title":"Softcover - 9786204985572","offer_id":40393763422301,"sku":"9786204985572","price":60.9,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/89ecb8e2-4275-4f33-991a-caad524327a1.png?v=1758344557","url":"https:\/\/shop.autorenwelt.de\/products\/essential-numerical-range-and-davis-wielandt-shell-von-owego-dancun-okeso","provider":"Autorenwelt Shop","version":"1.0","type":"link"}