The Kadison problem on a class of commutative Banach algebras with closed cone

summary:The main result of the paper characterizes continuous local derivations on a class of commutative Banach algebra $A$ that all of its squares are positive and satisfying the following property: Every continuous bilinear map $\Phi$ from $A\times A$ into an arbitrary Banach space $B$ such that $\Phi(a,b)=0$ whenever $ab=0$, satisfies the condition $\Phi (ab,c)=\Phi(a,bc)$ for all $a,b,c\in A$

Mixed Riemann-Hilbert boundary value problem with simply connected fibers

We study the existence of solutions of mixed Riemann-Hilbert or Cherepanov boundary value problem with simply connected fibers on the unit disk $Delta$. Let $L$ be a closed arc on $partialDelta$ with the end points $omega_{-1}, omega_1$ and let $a$ be a smooth function on $L$ with no zeros. Let ${gamma_{xi}}_{xiinpartialDeltasetminusmathring{L}}$ be a smooth family of smooth Jordan curves in $mathbb C$ which all contain point $0$ in their interiors and such that $gamma_{omega_{-1}}$, $gamma_{omega_{1}}$ are strongly starshaped with respect to $0$. Then under condition that for each $win gamma_{omega_{pm 1}}$ the angle between $w$ and the normal to $gamma_{omega_{pm 1}}$ at $w$ is less than $frac{pi}{10}$, there exists a Hölder continuous function $f$ on $overline{Delta}$, holomorphic on $Delta$, such that ${rm Re}(overline{a(xi)} f(xi)) = 0$ on $L$ and $f(xi)ingamma_{xi}$ on $partialDeltasetminusmathring{L}$

Impacts of environmental factors on the spatial distribution of deer in the Poljanska Valley and Polhov Gradec dolomites

V Sloveniji navadni jelen (Cervus elaphus L.) še vedno širi svojo prisotnost na številna območja, med njimi tudi v Poljansko dolino in Polhograjske dolomite. V raziskavi smo proučili, kateri okoljski dejavniki ključno vplivajo na njegovo prostorsko razporeditev v gričevnatem in ponekod v sredogorskem proučevanem območju s povprečno gozdnatostjo 67 %. Raziskava temelji na vzorcu 585 georeferenciranih lokacij odvzema ter GIS-podatkovnih plasteh 34 okoljskih spremenljivk. Logistična regresija napoveduje, da se verjetnost za primernost prostora za habitat jelena v prvem modelu multivariatno povečuje z večanjem deleža gozdov, z manjšanjem razdalje do sosednjega območja, z večjim deležem dvoslojnih, raznomernih, prebiralnih gozdov ter grmišč in panjevcev, z večanjem deleža sestojev v obnovi ter zmanjšuje z manjšim deležem mladja. V drugem modelu smo odkrili tudi pozitiven vpliv deleža plodonosnega gozdnega drevja v lesni zalogi sestojev ter negativne vplive odsotnosti krmišč, večje razdalje do gozdnih cest in majhnih vrednosti sončnega obsevanja pozimi.Red deer (Cervus elaphus L.) still expands its presence to diverse areas in Slovenia, among them also to Poljanska dolina and Polhograjski Dolomiti. In our research, we studied which environmental factors critically affect its spatial distribution in the hilly and in some locations medium mountain area with average forest cover of 67 %.The research is based on a sample of 585 georeferenced harvest locations and GIS data layers of 34 environmental variables. In the first model, logistic regression foretells the probability of the adequacy of space for the red-deer habitat multivariant increases along with the increasing forest share, decreasing distance to the neighboring area, a larger share of two- -layered, uneven-aged, selective forests and shrubs and coppices and with increasing share of stands in regenerationit decreases with a lesser share of young growth. In the second model, we also found a positive impact of forest fruit trees in the growing stock and negative impacts of absence of feeding sites, larger distances to forest roads and low values of insolation in winte

Impacts of environmental factors on spatial distribution of Roe Deer (Capreolus capreolus L.) in Gorenjsko Hunting Management District

V raziskavi smo proučili, kateri dejavniki vplivajo na prostorsko razporeditev evropske srne (Capreolus capreolus L.) v Gorenjskem lovskoupravljavskem območju. Raziskava temelji na vzorcu N = 2.196 georeferenciranih lokacij odvzema N = 42.468 živali in GIS-podatkovnih plasteh 21 okoljskih spremenljivk. Logistična regresija napoveduje, da je primernost prostora za habitat srne pogojena z vrednostmi trinajstih okoljskih spremenljivk: spremenljivke zgradbe prostora (delež kmetijskih površin, delež nedostopnih površin, dolžina javnih cest, dolžina gozdnega roba, ekspozicija), podnebne spremenljivke (količina padavin, količina sončnega sevanja poleti, srednja letna temperatura), spremenljivke zgradbe gozdnih sestojev (delež sestojev v obnovi, delež mladovij, lesna zaloga sestojev, indeks gozdnih združb, dolžina gozdnih cest). Z drugim modelom smo odkrili tudi negativen vpliv oddaljenosti do najbližje gozdne in kmetijske površine. Med kmetijskimi površinami na primernost prostora za habitat srne najbolj vplivata delež travnikov in delež njiv ter vrtov.In our research we studied which factors affect spatial distribution of roe deer (Capreolus capreolus L.) in Gorenjsko hunting management district. The research is based on the sample of N = 2.196 georeferenced harvest locations of N = 42.468 animals and GIS-data layers of 21 environmental variables. Logistic regression predicts, that the adequacy of the space for roe deer habitat is conditioned by the values of thirteen environmental variables: variables of space structure (share of agricultural land, share of inaccessible areas, length of public roads, length of forest margin, exposition), climatic variables (amount of precipitation, amount of sun exposure in the summer, mean annual temperature), variables of forest stands structure (share of stands in regeneration, share of young forest, growing stock of stands, indicator of forest associations, length of forest roads). With another model we also discovered a negative impact by the distance to the first forest and agricultural area. Among the agricultural areas, the adequacy of the space for roe deer habitat is most affected by the share of meadows and share of fields and gardens