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The talks in the seminar during the Autumn will take place either via the Zoom conference system or on site (in room C124 in Exactum). The length of the talks will be 60-90 minutes. More information about the arrangement of the talks (including the Zoom-links, if applicable) will be sent by e-mail beforehand.

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Thursday 24.1.2022  12.15-13.15 o'clock (talk via Zoom-link)

Emiel Lorist (Helsinki): A discrete framework for the interpolation of Banach spaces

Abstract: 

In the study of parabolic boundary value problems (BVPs) from a functional analytic viewpoint, interpolation spaces show up as the spaces of initial and boundary values. For the space of initial values this is well-established and connected to the classical real interpolation method. For the space of boundary values this insight is more recent and connected to the so-called Gaussian- and Image Added-interpolation methods. Motivated by the properties of these interpolation methods needed to study BVPs, we will develop a discrete framework for the interpolation of Banach spaces. This framework contains, in particular,  the aforementioned interpolation methods and is based on a sequential structure imposed on a Banach space.  

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Thursday 13.1.2022  12.15-13.15 o'clock (talk via Zoom-link)

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